of Tomáš Roubíček

I. Books:

  1. M.Kružík, T.Roubíček: Mathematical Methods in Continuum Mechanics of Solids. (Interaction of Mech. and Math. Series) Springer, Cham/Switzerland, 2019, pp.i-xiii, 1-617. ISBN 978-3-030-02064-4, ISSN 1860-6245, eBook ISBN 978-3-030-02065-1, DOI 10.1007/978-3-030-02065-1. Errata here.
  2. A.Mielke, T.Roubíček: Rate-Independent Systems - Theory and Application. (Appl. Math. Sci. Series 193) Springer, New York, 2015, pp.i-xx, 1-660, ISBN 978-1-4939-2705-0, ISSN 0066-5452, ISBN 978-1-4939-2706-7 (eBook), DOI 10.1007/978-1-4939-2706-7. Reviews in MR and ZBL. Errata here.
  3. T.Roubíček: Nonlinear Partial Differential Equations with Applications. (Intl.Ser.Numer.Math 153.) Birkhäuser, Basel, Boston, Berlin.
  4. T.Roubíček: Relaxation in Optimization Theory and Variational Calculus. (Series in Nonlin. Anal. Appl. 4.) Walter de Gruyter, Berlin, New York/Boston. ISSN 0941-813X.

II. Research articles:

  1. T.Roubíček: Thermo-elastodynamics of finitely-strained multipolar viscous solids with an energy-controlled stress. (Preprint arXiv no.2404.13188) SIAM J. Math. Anal., submitted.
  2. A.Mielke, T.Roubíček: A general thermodynamical model for finitely-strained continuum with inelasticity and diffusion, its GENERIC derivation in Eulerian formulation, and some application. (Preprint arXiv no.2404.10126) Zeitschrift f. angew. Math. Phys., submitted.
  3. T.Roubíček, U.Stefanelli: Modelling of planetary accretion and core-mantle structure formation. (Preprint arXiv no.2402.06750) Journal of Physics A: Mathematical and Theoretical, submitted.
  4. T.Roubíček: Some gradient theories in linear visco-elastodynamics towards dispersion and attenuation of waves in relation to large-strain models. (Preprint arXiv no.2309.05089) Acta Mechanica, (2024), printed online, DOI: 10.1007/s00707-024-03959-2.
  5. T.Roubíček: Thermomechanics of ferri-antiferromagnetic phase transition in finitely-strained rocks towards paleomagnetism. (Preprint arXiv no.2307.11826) Physica B: Condensed matter, 674 (2024),
  6. A.Mielke, T.Roubíček, U.Stefanelli: A model of gravitational differentiation of compressible self-gravitating planets. (Preprints arXiv no.2305.06232 and WIAS Berlin no.3015) Cont. Mech. Thermodyn., submitted.
  7. T.Roubíček, G.Tomassetti: Inhomogeneous finitely-strained thermoplasticity with hardening by an Eulerian approach. (Preprint arXiv no.2304.05918) Disc. Cont. Dynam. Systems - S, 17 (2024), 181-220.
  8. T.Roubíček: Landau theory for ferro-paramagnetic phase transition in finitely-strained viscoelastic magnets. (Preprint arXiv no.2302.02850) Math. Meth. Models in the Appl. Sci. (M3AS), 34 (2024), 181-241.
  9. A.Mielke, T.Roubíček: Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults. (Preprint arXiv no.2207.11074) Interfaces & Free Boundaries, 26 (2024), 245-282.
  10. T.Roubíček: Interaction of finitely-strained viscoelastic multipolar solids and fluids by an Eulerian approach. (Preprint arXiv no.2205.10814) J. Math. Fluid Mech. 25 (2023),
  11. T.Roubíček: Thermodynamics of viscoelastic solids, its Eulerian formulation, and existence of weak solutions. (Preprint arXiv no.2203.06080) Zeitschrift f. angew. Math. Phys. 75 (2024),
  12. T.Roubíček, U.Stefanelli: Viscoelastodynamics of swelling porous solids at large strains by an Eulerian approach. (Preprint arXiv no.2201.10959) SIAM J. Math. Anal. 55 (2023), 2475-2876.
  13. T.Roubíček: Quasistatic hypoplasticity at large strains Eulerian. (Preprint arXiv no.2108.12718.) J. Nonlin. Sci., 32 (2022),
  14. T.Roubíček: A thermodynamical model for paleomagnetism in Earth’s crust. (Preprint arXiv no.2106.14029.) Math. & Mech. Solids, 28 (2023), 1063-1090.
  15. T.Roubíček: Thermodynamically consistent model for poroelastic rocks towards tectonic and volcanic processes and earthquakes. (Preprint arXiv no.2103.11663.) Geophysical J. Intl., 227 (2021), 1893-1904.
  16. T.Roubíček: Visco-elastodynamics at large strains Eulerian. (Preprint arXiv no.2102.00261.) Zeitschrift f. angew. Math. Phys., 73 (2022),
  17. T.Roubíček: The Stefan problem in a thermomechanical context with fracture and fluid flow. (Preprint arXiv no.2012.15248 or Authorea.) Math. Meth. Appl. Sci., 46 (2023), 12217-12245.
  18. E.Davoli, T.Roubíček, U.Stefanelli: A note about hardening-free viscoelastic models in Maxwellian-type rheologies. (Preprints arXiv no.2012.08914 and T.U.Wien no.41/2020.) Math. & Mech. of Solids 26 (2021), 1483-1497.
  19. T.Roubíček: Optimal control of flows of viscoelastic semi-compressible fluids. (Preprint arXiv no.2108.12919.) Pure and Applied Functional Analysis, 7 (2022), 1913-1928.
  20. T.Roubíček, G.Tomassetti: A convective model for poro-elastodynamics with damage and fluid flow towards Earth lithosphere modelling. (Preprint arXiv no.2107.06683.) Continuum Mech. Thermodynam. 33 (2021), 2345-2361.
  21. T.Roubíček: Fine metrizable convex relaxations of parabolic optimal control problems. (Preprint arXiv no.2102.00254.) SIAM J. Control and Optimization 59 (2021), 1293-1311.
  22. B.Benešová, M.Frost, L.Kadeřávek, T.Roubíček, P.Sedlák: An experimentally-fitted thermodynamical constitutive model for polycrystalline shape memory alloys. Disc. Cont. Dynam. Syst. S, 14 (2021), 3925-3952.
  23. T.Roubíček: From quasi-incompressible to semi-compressible fluids. (Preprint arXiv no.2004.07344.) Disc. Cont. Dynam. Syst. S, 14 (2021), 4069-4092.
  24. S.Krömer, T.Roubíček: Quasistatic viscoelasticity with self-contact at large strains. (Preprint arXiv no.1904.02423.) J. Elasticity 142 (2020), 433-445.
  25. T.Roubíček: Cahn-Hilliard equation with capillarity in actual deforming configurations. (Preprint arXiv no.1904.00109.) Disc. Cont. Dynam. Syst. - S 14 (2021), 41-55.
  26. T.Roubíček, C. Tsogka: Staggered explicit-implicit time-discretisation for elastodynamics with dissipative internal variables. (Preprint arXiv no.2006.05008) ESAIM Math. Model. & Numer. Anal. 55 (2021), S397-S416.
  27. A.Mielke, T.Roubíček: Thermoviscoelasticity in Kelvin-Voigt rheology at large strains. (Preprints arXiv no.1903.11094 and WIAS, Berlin, no.2584, 2019.) Archive Ration. Mech. Anal. 238 (2020), 1-45.
  28. T.Roubíček: Coupled time discretisation of dynamic damage models at small strains. (Preprint arXiv no.2007.06961.) IMA J. Numer. Anal. 40 (2020), 1772-1791.
  29. T.Roubíček, G.Tomassetti: Dynamics of charged elastic bodies under diffusion at large strains. (Preprint arXiv no.1908.01811.) Disc. Cont. Dynam. Syst. B 25 (2020), 1415-1437.
  30. E.Davoli, T.Roubíček, U.Stefanelli: Dynamic perfect plasticity and damage in viscoelastic solids. (Preprint arXiv no. 1904.02083.) Zeit. angew. Math. Mech. 99 (2019), issue 7: e201800161.
  31. T.Roubíček, R.Vodička: A monolithic model for phase-field fracture and waves in solid-fluid media towards earthquakes. (Preprint arXiv no. 1909.08576.) Intl. J. Fracture 219 (2019) 135-152.
  32. T.Roubíček: A general thermodynamical model for adhesive frictional contacts between viscoelastic or poro-viscoelastic bodies at small strains. (Preprint arXiv no.1906.04018.) Interfaces and Free Boundaries 21 (2019), 169-198.
  33. T.Roubíček, U.Stefanelli: Finite thermoelastoplasticity and creep under small elastic strains. (Preprint arXiv no.1804.05742) Math. Mech. of Solids, 24 (2019), 1161-1181.
  34. T.Roubíček: Seismic waves and earthquakes in a global monolithic model. (Preprint arXiv no.1703.06267) Cont. Mech. Thermodynam., 30 (2018), 709-729.
  35. T.Roubíček, U.Stefanelli: Thermodynamics of elastoplastic porous rocks at large strains towards earthquake modeling. (Preprint arXiv no.1807.00910) SIAM J. Appl. Math., 78 (2018), 2597-2625.
  36. T.Roubíček, G.Tomassetti: A thermodynamically consistent model of magneto-elastic materials under diffusion at large strains and its analysis. (Preprint arXiv no.1703.06267) Zeit. angew. Math. Phys. 69 (2018), 55.
  37. T.Roubíček, C.G.Panagiotopoulos: Energy-conserving time-discretisation of abstract dynamical problems with applications in continuum mechanics of solids. (Preprint arXiv no.1605.09762) Numer. Funct. Anal. Optim., 38 (2017), 1143-1172.
  38. T.Roubíček: An energy-conserving time-discretisation scheme for poroelastic media with phase-field fracture emitting waves and heat. (Preprint No.2016-011, Nečas center, Prague) Disc. Cont. Dynam. Syst. S, 10 (2017), 867-893.
  39. T.Roubíček: Variational methods for steady-state Darcy/Fick flow in swollen and poroelastic solids. (Preprint arXiv no.1703.04850) Zeit. angew. Math. Mech., 97 (2017), 990-1002.
  40. A.Mielke, T.Roubíček: Rate-independent elastoplasticity at finite strains and its numerical approximation. (Preprint No.2210, WIAS, Berlin, 2016) Math. Models & Methods in Appl. Sci., 26 (2016), 2203-2236.
  41. T.Roubíček: Geophysical models of heat and fluid flow in damageable poro-elastic continua. (Preprint No.2016-012, Nečas center, Prague) Cont. Mech. Thermodyn., 29 (2017), 625-646.
  42. T.Roubíček, J. Valdman: Stress-driven solution to rate-independent elasto-plasticity with damage at small strains and its computer implementation. (Preprint arXiv no.1506.01421) Math. Mech. of Solids, 22 (2017), 1267-1287.
  43. R.Vodička, V.Mantič, T.Roubíček: Quasistatic normal-compliance contact problem of visco-elastic bodies with Coulomb friction implemented by QP and SGBEM. (Preprint arXiv no.1610.06777) J. of Computational and Applied Mathematics 315 (2017), 249-272.
  44. T.Roubíček, J. Valdman: Perfect plasticity with damage and healing at small strains, its modelling, analysis, and computer implementation. (Preprint arXiv no.1505.01018) SIAM J. Appl. Math. 76 (2016), 314-340.
  45. L.Adam, J.V.Outrata, T.Roubíček: Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains. (Preprint arXiv no.1411.4903) Optimization 66 (2017), 2025-2049.
  46. T.Roubíček, G.Tomassetti: Thermomechanics of damageable materials under diffusion: modeling and analysis. (Preprint arXiv no.1412.4949 or, in a revised version, No.2015-008, Nečas center, Prague) Zeit. angew. Math. Phys. 66 (2015), 3535-3572.
  47. C.G.Panagiotopoulos, V.Mantič, T.Roubíček: Two adhesive-contact models for quasistatic mixed-mode delamination problems. (Preprint arXiv no.1511.08873) Math. Comp. Simulation, 145 (2018), 18-33.
  48. T.Roubíček, M.Thomas, C.G.Panagiotopoulos: Stress-driven local-solution approach to quasistatic brittle delamination. (Preprint No.1889, WIAS, Berlin, 2013) Nonlinear Anal., Real World Appl. 22 (2015), 645-663.
  49. R.Vodička, V.Mantič, T.Roubíček: Energetic versus maximally-dissipative local solutions of a quasi-static rate-independent mixed-mode delamination model. (Preprint No.2013-021, Nečas center, Prague) Meccanica 49 (2014), 2933-2963.
  50. T.Roubíček: A note about the rate-and-state-dependent friction model in a thermodynamical framework of the Biot-type equation. (Preprint No.2014-017, Nečas center, Prague.) Geophysical J. Intl. 199 (2014), 286-295.
  51. C.G.Panagiotopoulos, V.Mantič, T.Roubíček: A simple and efficient BEM implementation of quasistatic linear visco-elasticity. (Preprints No.2014-005, Nečas center, Prague, and arXiv no.1402.6631) Intl. J. of Solids and Structures 51 (2014), 2261-2271.
  52. M.Kružík, C.G.Panagiotopoulos, T.Roubíček: Quasistatic adhesive contact delaminating in mixed mode and its numerical treatment. (Preprints No.2013-026, Nečas center, Prague, and arXiv no.1309.7150) Mathematics and Mechanics of Solids 20 (2015), 582-599.
  53. T.Roubíček: Maximally-dissipative local solutions to rate-independent systems and application to damage and delamination problems. (Preprint No.2013-021, Nečas center, Prague) Nonlin. Anal., Th. Meth. Appl. 113 (2015), 33-50.
  54. T.Roubíček, C.G.Panagiotopoulos, V.Mantič: Local-solution approach to quasistatic rate-independent mixed-mode delamination. (Preprint arXiv no.1412.8593) Math. Models Methods Appl. Sci., 25 (2015) 1337-1364.
  55. T.Roubíček, U.Stefanelli: Magnetic shape-memory alloys: thermomechanical modeling and analysis. (Preprint Univ. Vienna) Continuum Mechanics and Thermodynamics 26 (2014), 783-810.
  56. T.Roubíček, G.Tomassetti: Thermomechanics of hydrogen storage in metallic hydrides: modeling and analysis. (Preprint arXiv no.1309.3227) Discrete Cont. Dynam. Systems - Ser. B, 19 (2014), 2313-2333.
  57. T.Roubíček, C.G.Panagiotopoulos, V.Mantič: Quasistatic adhesive contact of visco-elastic bodies and its numerical treatment for very small viscosity. (Preprint arXiv no.1303.1709) Zeitschrift angew. Math. Mech. 93 (2013), 823-840. DOI: 10.1002/zamm.201200239
  58. T.Roubíček: Adhesive contact of visco-elastic bodies and defect measures arising by vanishing viscosity. (Preprint No.2012-006, Nečas center, Prague) SIAM J. Math. Anal. 45 (2013), 101-126.
  59. L.Freddi, T.Roubíček, C.Zanini: Quasistatic delamination of sandwich-like Kirchhoff-Love plates. (Preprint at Calc. Var. & Geometric Measure Theory, Pisa) J. Elasticity, 113 (2013), 219-250.
  60. T.Roubíček, G.Tomassetti: Phase transformations in electrically conductive ferromagnetic shape-memory alloys, their thermodynamics and analysis. (Preprint No.1447, Universitá degli Studi di Roma II "Tor Vergata") Archive Ration. Mech. Anal. 210 (2013), 1-43.
  61. T.Roubíček, O.Souček, R.Vodička: A model of rupturing lithospheric faults with re-occurring earthquakes. (Preprint No.2013-013, Nečas center, Prague) SIAM J. Appl. Math. 73 (2013), 1460-1488.
  62. C.G.Panagiotopoulos, V.Mantič, T.Roubíček: BEM implementation of energetic solutions for quasistatic delamination problems. (Preprint arXiv no.1212.2611) Computational Mechanics 51 (2013), 505-521.
  63. S.Bartels, T.Roubíček: Numerical approaches to thermally coupled perfect plasticity. Numer. Meth. for Partial Diff. Equations, 29 (2013), 1837-1863.
  64. B.Benešová, T.Roubíček: Micro-to-meso scale limit for shape-memory-alloy models with thermal coupling. (Preprint No.2012-002, Nečas center, Prague) Multiscale Modeling and Simulation 10 (2012), 1059-1089.
  65. R.Rossi, T.Roubíček: Adhesive contact delaminating at mixed mode, its thermodynamics and analysis. (Preprints: No.26/2011 at Univ. Brescia, and arXiv no.1110.2794). Interfaces and Free Boundaries 15 (2013), 1-37.
  66. T.Roubíček, V. Mantič, C.G. Panagiotopoulos: A quasistatic mixed-mode delamination model. (Preprint No.2011-020, Nečas center, Prague) Discrete and Cont. Dynam. Syst. - S 6 (2013), 591-610.
  67. T.Roubíček: Thermodynamics of perfect plasticity. (Preprint No.2011-015, Nečas center, Prague.) Discrete and Cont. Dynam. Syst. - S, 6 (2013), 193-214.
  68. B.Benešová, M.Kružík, T.Roubíček: Thermodynamically-consistent mesoscopic model of the ferro/paramagnetic transition. (Preprint arXiv no.1203.3666) Zeit. angew. Math. Phys., 64 (2013), 1-28.
  69. T.Roubíček: Nonlinearly coupled thermo-visco-elasticity. (Preprint No.2012-005, Nečas center, Prague.) Nonlin. Diff. Eq. Appl., 20 (2013), 1243-1275.
  70. S.Bartels, A.Mielke, T.Roubíček: Quasistatic small-strain plasticity in the limit of vanishing hardening and its numerical approximation. (Preprint No.1585, WIAS, Berlin, 2010), SIAM J. Numer. Anal. 50 (2012), 951-976.
  71. A.Mielke, T.Roubíček, M.Thomas: From damage to delamination in nonlinearly elastic materials at small strains. (Preprint No.1542, WIAS, Berlin, 2010), J. Elasticity, 109 (2012), 235-273, DOI: 10.1007/s10659-012-9379-0.
  72. L.Freddi, R.Paroni, T.Roubíček, C.Zanini: Quasistatic delamination models for Kirchhoff-Love plates. (Preprint no.Scuola Normale Superiore, Pisa) Zeitschrift angew. Math. Mech. 91 (2011), 845-865.
  73. R.Rossi, T.Roubíček: Thermodynamics and analysis of rate-independent adhesive contact at small strains. (Preprints: No.07/2010, Univ. Brescia, SNS, Pisa, arXiv no.1004.3764). Nonlinear Anal. 74 (2011), 3159-3190. ZBL: 1217.35108
  74. S.Bartels, T.Roubíček: Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion. (Preprint no.486, SFB 611, Univ. Bonn) Math. Modelling Numer. Anal. 45 (2011), 477-504.
  75. T.Roubíček, G.Tomassetti: Ferromagnets with eddy currents and pinning effects: their thermodynamics and analysis. (Preprint No.2010-026, Nečas center, Prague) Math. Models Meth. Appl. Sci. (M3AS) 21 (2011), 29-55.
  76. T.Roubíček: On certain convex compatifications for relaxation in evolution problems. (Preprint No.2009-032, Nečas center, Prague) Discrete Cont. Dynamical Systems, Ser.S., 4 (2011), 467-482.
  77. T.Roubíček, L.Scardia, C.Zanini: Quasistatic delamination problem. (Preprint No.14/2009 Max-Planck-Institut, Leipzig, 2009) Cont. Mech. Thermodynam., 21 (2009), 223-235.
  78. P.Podio Guidugli, T.Roubíček, G.Tomassetti: A thermodynamically-consistent theory of the ferro/paramagnetic transition. (Preprint No.683 Universitá degli Studi di Roma II "Tor Vergata") Archive Rat. Mech. Anal. 198 (2010), 1057-1094.
  79. T.Roubíček, G.Tomassetti: Thermodynamics of shape-memory alloys under electric current. (Preprint No.622 Universitá degli Studi di Roma II "Tor Vergata") Zeit. angew. Math. Phys. 61 (2010), 1-20. ZBL: 1201.74029
  80. T.Roubíček, G.Tomassetti, C.Zanini: The Gilbert equation with dry-friction-type damping. (Preprint No.623 Universitá degli Studi di Roma II "Tor Vergata") J. Math. Anal. Appl. 355 (2009), 453-468.
  81. T.Roubíček: Approximation in multiscale modelling of microstructure evolution in shape-memory alloys. (Preprint no.2011-010, Nečas Center, Prague.) Cont. Mech. Thermodynam. 23 (2011), 491-507.
  82. T.Roubíček: Thermodynamics of rate independent processes in viscous solids at small strains. (Preprint no.2009-037, Nečas Center, Prague.) SIAM J. Math. Anal. 42 (2010), 256-297. ZBL:1213.35279.
  83. R.Meziat, T.Roubíček, D.Patino: Coarse-convex-compactification approach to numerical solution of nonconvex variational problems. (Preprint no.2010-014, Nečas Center, Prague.) Numer. Funct. Anal. Optim. 31 (2010), 460-488. ZBL: 1196.49025.
  84. S.Bartels, T.Roubíček: Thermoviscoplasticity at small strains. (Preprint no.413, SFB 611, Univ. Bonn, 2008) Zeitschrift angew. Math. Mech. 88 (2008), 735-754.
  85. D.Wachsmuth, T.Roubíček: Optimal control of planar flow of incompressible non-Newtonian fluids. (Preprint No.11-2008, Inst.Math., Technische Universität Berlin), Zeitsch. f. Anal. u. ihre Advendungen 29 (2010), 351-376.
  86. T.Roubíček: Rate independent processes in viscous solids at small strains. (Preprint no.2008-008, Nečas Center, Prague.) Math. Methods Appl. Sci. 32 (2009),825-862 (errata on p. 2176 with Publisher's appology).
  87. A.Mielke, T.Roubíček, J.Zeman: Complete damage in elastic and viscoelastic media and its energetics. (Preprint No.1285, WIAS, Berlin, 2007), Computer Methods Appl. Mech. Engr. 199 (2010), 1242--1253 (electronically doi:10.1016/j.cma.2009.09.020).
  88. T.Roubíček: Thermo-visco-elasticity at small strains with L1-data. (Preprint no.2007-038, Nečas Center, Prague.) Quarterly Appl. Math. 67 (2009), 47-71.
  89. G. Bouchitté, A.Mielke, T.Roubíček: A complete damage problem at small strains. (Preprint No.1228, WIAS, Berlin, 2007), Zeitschrift angew. Math. Phys. 60 (2009), 205-236 (published eletronically Nov. 2007.)
  90. A.Mielke, T.Roubíček: Numerical approaches to rate-independent processes and applications in inelasticity. (Preprint No.1169, WIAS, Berlin, 2006), Math. Modelling Numer. Anal. 43 (2009), 399-428.
  91. T.Roubíček: Modelling of thermodynamics of martensitic transformation in shape-memory alloys. (Preprint no.2007-009, Nečas Center, Prague.) Discrete and Cont. Dynam. Syst. Supl. (2007), 892-902.
  92. T.Roubíček: Incompressible ionized non-Newtonean fluid mixtures. (Preprint no.2007-010, Nečas Center, Prague.) SIAM J. Math. Anal. 39 (2007), 863-890. (electronically in No.3). ZBL:pre05288544
  93. T.Roubíček, M.Kružík, J.Koutný: A mesoscopical model of shape-memory alloys. (Preprint No.2007-014, Nečas center, Prague) Proc. Estonian Acad. Sci. Phys. Math. 56 (2007), 146-154.
  94. T.Roubíček: On non-Newtonian fluids with energy transfer. Journal of Mathematical Fluid Mechanics 11 (2009), 110-125 (published on line in vol.9, no.1 (June 2007), 1-16.).
  95. J.Koutný, M.Kružík, A.Kurdila, T.Roubíček: Identification of Preisach-type hysteresis operators. (Preprint No.2008-005, Nečas center, Prague) Numer. Funct. Anal. Optim. 29 (2008), 149-160. ZBL:1138.65041
  96. A.Mielke, T.Roubíček, U.Stefanelli: Gamma-limits and relaxations for rate-independent evolutionary problems. (Preprint No.1156, WIAS, Berlin, 2006) Calc. Var. PDE 31 (2008), 387-416. ZBL:05236593
  97. T.Roubíček, M.Kružík: Mesoscopic model of microstructure evolution in shape memory alloys, its numerical analysis and computer implementation. GAMM Mitteilungen 29 (2006), 192-214.
  98. T.Roubíček: Incompressible ionized fluid mixtures: a non-Newtonian approach. IASME Transactions (WSEAS) 2 (2005), 1190-1197.
  99. M.Kružík, A.Mielke, T.Roubíček: Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi. (Preprint No.1047, WIAS, Berlin, 2005) Meccanica 40 (2005), 389-418.
  100. M.Arndt, M.Griebel, V. Novák, T. Roubíček, P.Šittner: Martensitic transformation in NiMnGa single crystals: numerical simulations and experiments. (Preprint No. 223, SFB 611, Universität Bonn.) Int. J. Plasticity, 22 (2006), 1943-1961. ZBL:1099.74049.
  101. A.M.Ramos, T.Roubíček: Nash equilibria in noncooperative predator-prey games. (Preprint No.MA-UCM-2005-24, Dep. Matematica Aplicada, Universidad Complutense Madrid.) Appl. Math. Optim. 56 (2007), 211-241. ZBL:pre05236571
  102. M.Pošta, T.Roubíček: Optimal control of Navier-Stokes equations by Oseen approximation. (Preprint No.2007-013, Nečas centre, Prague) Computers and Mathematics with Applications, 53 (2007), 569-581. ZBL:1133.49024.
  103. A.Mielke, T.Roubíček: Rate-independent damage processes in nonlinear inelasticity. (Preprint No.1020, WIAS, Berlin, 2005) Math. Models Meth. Appl. Sci. (M3AS) 16 (2006), 177-209. ZBL:05021616.
  104. T.Roubíček: Incompressible ionized fluid mixtures. Continuum Mech. Thermodyn. 17 (2006), 493-509. ZBL:1113.76097.
  105. M.Kočvara, A.Mielke, T.Roubíček: A rate-independent approach to the delamination problem. (Preprint No.2003/29, SFB 404 "Mehrfeldprobleme in der Kontinuumsmechanik", Universität Stuttgart) Mathematics and Mechanics of Solids, 11 (2006), 423-447. ZBL:1133.74038
  106. T.Roubíček: On Nash equilibria for noncooperative games governed by Burgers equation. J. Optim. Theory Appl. 132 (2007), 41-50. ZBL:1127.91012
  107. A.Mielke, T.Roubíček: A rate-independent model for inelastic behavior of shape-memory alloys. (Preprint no. 79 DFG Schwerpunktprogramm 1095 - Analysis, Modeling and Simulation of Multiscale Problems, Uni.Stuttgart) Multiscale Modeling and Simulation 1 (2003), 571-597. ZBL:02060010
  108. S.Bartels, T.Roubíček: Linear-programming approach to nonconvex variational problems. (Preprint no. 74 DFG Schwerpunktprogramm 1095 - Analysis, Modeling and Simulation of Multiscale Problems, Uni.Stuttgart) Numerische Math. 99 (2004), 251-287. ZBL:02132459.
  109. M.Kružík, T.Roubíček: Interactions between demagnetizing field and minor-loop development in bulk ferromagnets. (Preprint no.28/2002, caesar Bonn) J. Magnetism and Magn. Mater. 277 (2004), 192-200.
  110. T.Roubíček, M.Kružík: Mesoscopic model for ferromagnets with isotropic hardening. (Preprint no. 27/2002, caesar, Bonn) Zeit. für angew. Math. und Physik 56 (2005), 107-135. ZBL:02140024
  111. T.Roubíček, F.Tröltzsch: Lipschitz stability of optimal controls for the steady-state Navier-Stokes equations. (Tech.Report, Institute of Mathematics, TU Berlin, No.749-2002) Control & Cybernetics 32 (2003), 683-705
  112. M.Arndt, M.Griebel, T.Roubíček: Modelling and numerical simulation of martensitic transformation in shape memory alloys. (SFB 611 Preprint No.26, Univ. Bonn) Continuum Mech. Thermodyn. 15 (2003), 463-485. ZBL:02034125.
  113. M.Kružík, T.Roubíček: Specimen shape influence on hysteretic response of bulk ferromagnets. (Preprint No.18/2002, caesar, Bonn) J. Magnetism and Magn. Mater. 256 (2003), 158-167.
  114. A.-M.Mataché, T.Roubíček, C.Schwab: Higher-order convex approximations of Young measures in optimal control. (Preprint Forschungsinstitut für Math., ETH, Zürich, 2001) Adv. in Comput. Math. 19 (2003), 73-97. ZBL:1027.65086
  115. K.R.Rajagopal, T.Roubíček: On the effect of dissipation in shape-memory alloys. Nonlinear Anal., Real World Applications 4 (2003), 581-597. ZBL:01915316
  116. T.Roubíček: Maximum principle in optimal design of plates with stratified thickness. Appl. Math. Optim. 51 (2005), 183-200 ZBL:1068.49021.
  117. P.Plecháč, T.Roubíček: Visco-elasto-plastic model for martensitic phase transformation in shape-memory alloys. Math. Methods in the Applied Sciences 25, (2002), 1281-1298. ZBL:1012.35051
  118. T.Roubíček, M.Kružík: Microstructure evolution model in micromagnetics. (Preprint No.3/2000, caesar, Bonn) Zeit. für angew. Math. und Physik, 55 (2004), 159-182. ZBL:1059.82047
  119. G.Bouchitté, T.Roubíček: Optimal design of stratified media. (Preprint No.2000/12, Lab.d' Modelisation, Univ. Toulon) Adv. Math. Sci. Appl. 12 (2002), 135-150. ZBL:1030.49016
  120. T.Roubíček, M.Valášek: Optimal control of causal differential algebraic systems. J. Math. Anal. Appl. 269 (2002), 616-641. ZBL:01797501
  121. T.Roubíček: Steady-state buoyancy-driven viscous flow with measure data. Mathematica Bohemica 126 (2001), 493-504. ZBL:0981.35054
  122. T.Roubíček: Evolution model for martensitic phase transformation in shape-memory alloys. (Preprint MATH-MU-2000/2, MFF UK) Interfaces and Free Boundaries 4 (2002), 111-136. ZBL:0998.35058
  123. J.Nečas, T.Roubíček: Buoyancy-driven viscous flow with L1-data. Nonlinear Anal. 46 (2001), 737-755. ZBL:01675638
  124. T.Roubíček, V.Šverák: Nonexistence of solutions in nonconvex multidimensional variational problems. J. Convex Anal. 7 (2000), 427-436. ZBL:0996.49008
  125. T.Roubíček, W.H.Schmidt: Existence in optimal control problems of certain Fredholm integral equations. Control and Cybernetics 30 (2001), 303-322. ZBL:01791176
  126. M.Kružík, T.Roubíček: Weierstrass-type maximum principle for microstructure in micromagnetics. (Preprint No.40, Max-Planck-Institut, Leipzig, 1999.) Zeitschrift für Analysis und ihre Anwendungen 19 (2000), 415-428. ZBL:0971.49002
  127. M.Kružík, T.Roubíček: Optimization problems with concentration and oscillation effects: relaxation theory and numerical approximation. (Preprint No.57, Max-Planck-Institut, Leipzig, 1998.) Numer. Funct. Anal. Optim. 20 (1999), 511-530. ZBL:940.49002
  128. C.Carstensen, T.Roubíček: Numerical approximation of Young measures in nonconvex variational problems. (Bericht 97-18, Christian-Albrechts-Universität zu Kiel, 1997) Numerische Mathematik 84 (2000), 395-415. ZBL:0945.65070
  129. T.Roubíček: Direct method for parabolic problems. Adv. Math. Sci. Appl. 10 (2000), 57-65. ZBL:0961.34050
  130. T.Roubíček: Nonlinear heat equation with L1-data. Nonlinear Diff. Eq. Appl. 5 (1998), 517-527. ZBL:921.35078
  131. M.Kružík, T.Roubíček: Some geometrical properties of the set of generalized Young functionals. Proc. Royal Soc. Edingurgh, Sec.A 129A (1999), 601-616. ZBL:0957.49009
  132. T.Roubíček, W.H.Schmidt: Existence of solutions to certain nonconvex optimal control problems governed by nonlinear integral equations. Optimization 42 (1997), 91-109. ZBL:885.49002
  133. T.Roubíček: On noncooperative nonlinear differential games. Kybernetika 35 (1999), 487-498. MR:2000j:49059
  134. T.Roubíček: Optimal control of nonlinear Fredholm integral equations. J. Optim. Th. Appl. 97 (1998), 707-729. ZBL:908.49018
  135. M.Kružík, T.Roubíček: On the measures of DiPerna and Majda. (A preprint Feb.1995 DOI: 10.13140/RG.2.2.32737.66408) Mathematica Bohemica 122 (1997), 383-399. DOI 10.21136/MB.1997.126212. ZBL:902.28009
  136. T.Roubíček: Nonconcentrating generalized Young functionals. Comment. Math. Univ. Carolinae 38 (1997), 91-99. ZBL:888.49027
  137. M.Kružík, T.Roubíček: Explicit characterization of Lp-Young measures. J. Math. Anal. Appl. 198 (1996), 830-843. ZBL:876.49039
  138. T.Roubíček: Numerical approximation of relaxed variational problems. J. Convex Analysis 3 (1996), 329-347. ZBL:881.65058
  139. T.Roubíček: Approximation theory for generalized Young measures. Numer. Funct. Anal. Opt. 16 (1995), 1233-1253. ZBL:854.65051
  140. T.Roubíček: Relaxation of vectorial variational problems. (Rapport de Recherche UMPA-93-no.88, ENS Lyon, 1993) Matematica Bohemica 120 (1995), 411-430. ZBL:859.49013
  141. T.Roubíček: Effective characterization of generalized Young measures generated by gradients. (Rapport de Recherche UMPA-92-no.85, ENS Lyon, 1992) Bollettino Unione Matematica Italiana 9-B (1995), 755-779. ZBL:859.49012
  142. T.Roubíček, K.-H.Hoffmann: Theory of convex local compactifications with applications to Lebesgue spaces. (DFG Report No. 416, Technische Universität München, 1992.) Nonlinear Analysis, Th., Methods, Appl. 25 (1995), 607-628. ZBL:pre00841789
  143. T.Roubíček, K.-H.Hoffmann: About the concept of measure-valued solutions to distributed parameter systems. (DFG Report No. 400, Technische Universität München, 1992.) Math. Methods in the Applied Sciences 18 (1995), 671-685. ZBL:828.35024
  144. K.-H.Hoffmann, T.Roubíček: Optimal control of a fine structure. (DFG Report No. 401, Technische Universität München, 1992.) Appl. Math. Optim. 30 (1994), 113-126. ZBL:812.49009
  145. K.-H.Hoffmann, T.Roubíček: Thermomechanical evolution of a microstructure. (DFG Report No. 378, Technische Universität München, 1992.) Quarterly Appl. Math. 52 (1994), 721-737. ZBL:815.49029
  146. T.Roubíček: Finite element approximation of a microstructure evolution. (DFG Report No. 376, Technische Universität München, 1992.) Math. Methods in the Applied Sciences 17 (1994), 377-393. ZBL:796.65108
  147. T.Roubíček: Optimality conditions for nonconvex variational problems relaxed in terms of Young measures. (DFG Report No. 375, Technische Universität München, 1992.) Kybernetika 34 (1998), 335-347. MR:99g:49023
  148. T.Roubíček: Evolution of a microstructure: a convexified model. (DFG Report No. 321, Universität Augsburg, 1991.) Math. Methods in the Applied Sciences 16 (1993), 625-642. ZBL:804.49036
  149. T.Roubíček, C.Verdi: A stable approximation of a constrained optimal control for continuous casting. (Report Universit`a degli Studi di Milano, No.3, 1992.) Numer. Funct. Anal. Optim. 13 (1992), 487-494. ZBL:758.49003
  150. T.Roubíček: Minimization on convex compactifications and relaxation of nonconvex variational problems. (DFG Report No. 260, Universität Augsburg, 1990.) Advances in Math. Sciences and Appl. 1 (1992), 1-18. ZBL:784.49019
  151. T.Roubíček: A general view to relaxation methods in control theory. Optimization 23 (1992), 261-268. ZBL:814.49023
  152. T.Roubíček: Convergent computational method for constrained optimal relaxed control problems. J. Optim. Th. Appl. 69 (1991), 589-603. ZBL:703.49028
  153. T.Roubíček: Convex compactifications and special extensions of optimization problems. Nonlinear Analysis, Th., Methods, Appl. 16 (1991), 1117-1126. ZBL:728.49006
  154. T.Roubíček: Numerical solution of the nonlinear heat equation in heterogeneous media. Numer. Funct. Anal. Optim. 11 (1990), 793-810. ZBL:702.65094
  155. J.Nečas, T.Roubíček: Approximation of a nonlinear thermoelastic problem with a moving boundary via a fixed domain method. Aplikace Matematiky 35 (1990), 361-372. ZBL:717.73096
  156. T.Roubíček: A generalization of the Lions-Temam compact imbedding theorem. Casopis pest. matematiky 115 (1990), 338-342. ZBL:755.46013
  157. T.Roubíček: Constrained optimization: a general tolerance approach. Aplikace Matematiky 35 (1990), 99-128. ZBL:714.49006
  158. T.Roubíček: The Stefan problem in heterogeneous media. Annales de l'Institute Henri Poincaré, Analyse Nonlinéaire 6 (1989), 481-501. ZBL:706.35139
  159. T.Roubíček: Evaluation of Clarke's generalized gradient in optimization of variational inequalities. Kybernetika 25 (1989), 157-168. ZBL:675.49009
  160. T.Roubíček: Stable extension of constrained optimization problems. J. Math. Anal. Appl. 141 (1989), 120-135. ZBL:683.49007
  161. T.Roubíček: A model and optimal control of multidimensional thermoelastic processes within a heating of large bodies. Probl. Control Inf. Theory 16 (1987), 283-301. ZBL:633.73006
  162. T.Roubíček: Optimal control of a Stefan problem with state-space constraints. Numerische Mathematik 50 (1987), 723-744. ZBL:589.65056
  163. J.Haslinger, T.Roubíček: Optimal control of variational inequalities. Approximation theory and numerical realization. Appl. Math. Optim. 14 (1986), 187-201. MR:87m:49026
  164. T.Roubíček: Generalized solutions of constrained optimization problems. SIAM J. Control Optim. 24 (1986), 951-960. ZBL:603.90137
  165. T.Roubíček: A generalized solution of a nonconvex minimization problem and its stability. Kybernetika 22 (1986), 289-298. ZBL:626.49013
  166. T.Roubíček: Time optimal control of nonlinear parabolic systems with constrained derivative of control, existence theorem. Kybernetika 20 (1984), 405-412. ZBL:549.49003
  167. T.Roubíček: Hybrid solution of weakly formulated boundary value problems. Math. Comp. in Simulation 26 (1984), 11-19. MR:85f:65073
  168. T.Roubíček: Unconditional stability of difference formulas Aplikace Matematiky 28 (1983), 81-90. ZBL:538.65032

III. Contributions to proceedings and book chapters:

  1. T.Roubíček: Models of dynamic damage and phase-field fracture, and their various time discretisations. (Preprint arXiv no.1906.04110.) In: Topics in Applied Analysis and Optimisation (Eds. M. Hinttermüller and J.-F. Rodrigues) CIM Series in Math. Sci., Springer, 2019, pp.363-396.
  2. T.Roubíček, M.Kružík, V.Mantič, C.G.Panagiotopoulos, R.Vodička, J.Zeman: Delamination and adhesive contacts, their mathematical modeling and numerical treatment. Chap.11 in: Math. Methods and Models in Composites, 2nd ed., (Ed.V.Mantič), Imperial College Press, Submitted 2016, printed and distributed thru World Scientific in 2023 as Vol. 13 in Computat. Experiment. Meth. in Structures, ISBN: 978-1-80061-187-0 (hardcover) 978-1-80061-189-4 (ebook), pp.497-578.
  3. T.Roubíček: Calculus of variations. Chap.17 in: Mathematical Tools for Physicists. (Ed. M. Grinfeld) J. Wiley, Weinheim, 2014, ISBN 978-3-527-41188-7, pp.551-588. DOI:10.1002/3527600434.eap735
  4. C.G. Panagiotopoulos, V. Mantič, T.Roubíček: BEM implementation of energetic solutions for quasistatic delamination problems. (Preprint No.2011-014, Nečas centre, Prague) In: Advances in Boundary Element Techniques XII - BeTeq 2011 (Proceedings of the International Conference on Boundary Element & Meshless Techniques XII), E.L. Albuquerque, M.H. Aliabadi (Eds.), Engineering Conferences Ltd., Eastleigh, 2011, pp. 261-268.
  5. T.Roubíček, M.Kružík, J.Zeman: Delamination and adhesive contact models and their mathematical analysis and numerical treatment. (Preprint No.2011-017, Nečas centre, Prague) Chap.9 in: Math. Methods and Models in Composites (Ed.V.Mantič), Imperial College Press. Submitted 2011, printed and distributed thru World Scientific in 2013 as Vol. 5 in Comput. Experiment. Meth. in Structures, ISBN: 978-1-84816-784-1, with a fictitious dating 2014, pp.349-400. DOI:10.1142/9781848167858_0009.
  6. T.Roubíček: Rate independent processes in viscous solids. In: Rate-Independent Evolution and Material Modeling (Special Section of EQUADIFF 2007, Eds. T.Roubíček, U.Stefanelli.) Pubblicazione IMATI-CNR, 29PV10/27/0, Pavia, 2010, pp.45-50, ISSN 1772-8964.
  7. T.Roubíček: Models of martensitic transformation in shape-memory alloys. In: Proc. 5th Intl. Conf. Nonlinear Mechanics (ICNM V), Shanghai Univ. Press, Shanghai, 2007, pp.1584-1591, ISBN 978-7-81118-164-7.
  8. T.Roubíček: Numerical techniques in relaxed optimization problems. In: Proc. Robust Optimization-Directed Design (A.J.Kurdila, P.M.Pardalos, M.Zabrankin, eds.), Springer, New York, 2006, pp.145-161. ZBL:1120.49026, DOI:10.1007/0-387-28654-3_8
  9. T.Roubíček: Incompressible Fluid Mixtures of Ionized Constituents. In: Proc. Trends in Applications of Mathematics to Mechanics (Eds. Y.Wang, K.Hutter), Shaker Ver., Aachen, 2005, pp.429-440. ZBL:02135603
  10. T.Roubíček: Models of microstructure evolution in shape memory alloys. In: Nonlinear Homogenization and its Appl. to Composites, Polycrystals and Smart Materials. (Eds. P.Ponte Castaneda, J.J.Telega, B.Gambin), NATO Sci. Series II/170, Kluwer, Dordrecht, 2004, pp.269-304. DOI:10.1007/1-4020-2623-4_12
  11. T.Roubíček: Optimization of steady-state flow of incompressible fluids. Proc. IFIP Conf. Analysis and Optimization of Differential Systems, (V.Barbu, I.Lasiecka, D.Tiba, C.Varsan, eds.), Kluwer Academic Publ., Boston, 2003, pp.357-368. ZBL:1038.35079, DOI:10.1007/978-0-387-35690-7_36
  12. T.Roubíček: Optimal design of laminated composites. In: Analysis and Simulation of Multifield Problems (W.Wendland, M.Efendiev, eds.), Lect. Notes in Appl. Comp. Mech. 12, Springer, Berlin, 2003, pp.129-134. ZBL:02151271, DOI:10.1007/978-3-540-36527-3_12
  13. T.Roubíček: Microstructure in ferromagnetics and its steady-state and evolution models. In: Communications of Bexbach Colloquium on Science 2000 Vol.II (M.Robnik, A.Ruffing, eds.) Shaker Verlag, Aachen, 2003, pp.39-52.
  14. T.Roubíček, M.Kružík: Adaptive approximation algorithm for relaxed optimization problems. In: Fast solution of discretized optimization problems (K.-H.Hoffmann, R.H.W.Hoppe, V.Schultz, eds.), ISNM 138, Birkhäuser, Basel, 2001, pp.242-254. ZBL:01664847, DOI:10.1007/978-3-0348-8233-0_18
  15. T.Roubíček: Optimization of fine structure in micromagnetism. In: Free Boundary Problems II, Chiba, 1999. (N.Kenmochi, ed.) Gakuto Int. Series in Math. Sci. Appl. 14, 2000, pp.398-408. ZBL:0964.49019
  16. T.Roubíček: Dissipative evolution of microstructure in shape memory alloys. In: Lectures on Applied Mathematics (H.-J.Bungartz, R.H.W.Hoppe, C.Zenger, eds.) Springer, Berlin, 2000, pp.45-63. ZBL:01531795, DOI:10.1007/978-3-642-59709-1_4
  17. J.Málek, T.Roubíček: Optimization of steady flows for incompressible viscous fluids. In: Nonlinear Applied Analysis (Eds. A.Sequiera, H. Beir~ao da Vega, J.H.Videman) Plenum Press, New York, 1999, pp.355-372. ZBL:0962.49017, DOI:10.1007/0-306-47096-9_24
  18. T.Roubíček: Noncooperative games with elliptic systems. In: Proc. IFIP WG 7.2 Conf. Optimal Control of P.D.E. Chemnitz, April 20-25, 1998. (Eds. K.-H.Hoffmann, G.Leugering, F.Tröltzsch), ISNM 133, Birkhäuser, Basel, 1999, pp.245-255. ZBL:0965.91006, DOI:10.1007/978-3-0348-8691-8_21
  19. T.Roubíček: Convex locally compact extensions of Lebesgue spaces and their applications. In: Calculus of Variations and Optimal Control. (A.Ioffe, S.Reich, I.Shafrir, eds.) Chapman & Hall / CRC Res. Notes in Math. 411, CRC Press, Boca Raton, FL, 1999, pp.237-250. ZBL:0964.49012
  20. T.Roubíček, M.Kružík: Numerical treatment of microstructure evolution modelling. (Preprint IMA No.1557 (April 1998), University of Minnesota, Minneapolis.) In: ENUMATH 97, Proc. 2nd European Conf. on Numer. Math. and Advanced Appl., Sept.28-Oct.3, 1997, Heidelberg (Eds. H.G.Bock et al.), World Scientific, Singapore, 1998, pp.532-539. ZBL:pre01574001
  21. T.Roubíček: Existence results for some nonconvex optimization problems governed by nonlinear processes. In: Proc. 12th Conf. on Variational Calculus, Optimal Control and Applications, Trassenheide, September 23-27, 1996 (Eds. W.H.Schmidt, K.Heier, L.Bittner, R.Bulirsch) ISNM 124 (1998), Birkhäuser, Basel, pp.87-96. ZBL:931.49002, DOI:10.1007/978-3-0348-8802-8_10
  22. T.Roubíček: Modelling of microstructure in non-quasiconvex variational problems. In: Free Boundary Problems, Theory and Applications. (M.Niezgódka, P.Strzelecki, eds.) Pitman Res. Notes in Math. 363 (1996), Longmann, Harlow, Essex, pp. 264-270. ZBL:862.49024
  23. T.Roubíček: Relaxation of optimal control problems coercive in Lp-spaces. In: Modelling and Optimization of Distributed Parameter Sytems. K.Malanowski, Z.Nahorski, M.Peszy'nska, eds., Chapman & Hall, London, 1996, pp. 270-277. ZBL:878.49016, DOI:0.1007/978-0-387-34922-0_28
  24. T.Roubíček: A note about relaxation of vectorial variational problems. In: Calculus of Variations, Applications and Computations. Proc. 2nd European Conf. on Elliptic and Parabolic Problems, Pont-`a-Mousson, 1994. (Eds.: C.Bandle et al.) Pitman Res. Notes in Math. Sci. 326, Longmann, 1995, pp. 208-214. ZBL:879.49016
  25. T.Roubíček: Optimal control of a microstructure. In: Free Boundary Problems: Theory and Appl. Ed. J.I.Diaz at al., Pitman Res. Notes in Math. 323 (1995), Longmann, Harlow, Essex, pp. 195-202. ZBL:836.49007
  26. T.Roubíček: Various relaxations in optimal control of distributed parameter systems. Proc. Int. Conf. on Control and Estimation of Distributed Parameter Systems. Vorau, July 18-24, 1993, (W.Desch, F.Kappel, K.Kunisch, eds.) ISNM 118, Birkhäuser, Basel, 1994, pp. 327-341. ZBL:813.49005, DOI:10.1007/978-3-0348-8530-0_18
  27. T.Roubíček: Microstructure evolution models. In: Metz Days 1992, Ed. M.Chipot, Pitman Res. Notes in Math. 296 (1993), Longmann, Harlow, Essex, pp. 67-73. ZBL:851.49022
  28. T.Roubíček: Convex compactifications in optimal control theory. In: Proc. 15th IFIP Conf. Modelling and Optimization of Systems, Sept. 2-6,1991, Zurich, P.Kall, ed., Lecture Notes in Control and Inf. Sci. 180 (1992), Springer, Berlin, pp. 433-439. ZBL:789.49016
  29. T.Roubíček: A note about optimality conditions for variational problems with rapidly oscillating solutions. In: Progress in Partial Differential Equations: Calculus of variations, applications, Eds. C.Bandle et al., (Proc. 1st European Conf. on Elliptic and Parabolic Problems, Pont-`a-Mousson, June 17-21, 1991), Pitman Res. Notes in Math. Sci. 267 (1992), Longmann, Harlow, Essex pp. 312-314. ZBL:794.49021
  30. T.Roubíček: Optimization of a Stefan problem by nonsmooth methods. In: Proc. Int. Conf. on Control and Estimation of Distributed Parameter Systems. (Eds.: W.Desch, F.Kappel, K.Kunisch) Vorau, July 8-14, 1990, ISNM 100 Birkhäuser, Basel, 1991, pp. 295-301. ZBL:748.49028, DOI:10.1007/978-3-0348-6418-3_20
  31. T.Roubíček: A Stefan problem in multi-component media coupled with a Signorini contact problem. In: Free Boundary Problems Involving Solids. (Proc. Free Boundary Problems: Theory and Appl. 5, Montreal, June 13-22, 1990) (J.M.Chadam, H.Rasmussen, eds.) Pitman Res. Notes in Math. 281 Longmann, Harlow, Essex, 1993, pp. 57-61. ZBL:837.35150
  32. T.Roubíček: A note on an interaction between penalization and discretization. In: Proc. IFIP-IIASA Conf. Modelling and Inverse Problems of Control for Distributed Parameter Systems. Laxenburg, July 24-28, 1989. (A.Kurzhanski, I.Lasiecka, eds.) Lecture Notes in Control and Inf. Sci. 154, Springer, Berlin, 1991, pp.145-150. ZBL:742.49021
  33. T.Roubíček: A finite-element approximation of Stefan problems in heterogeneous media. In: Free Boundary Value Problems. (K.-H. Hoffmann, J. Sprekels, eds.), ISNM 95, Birkhäuser, Basel, 1990, pp. 267-275. ZBL:721.65081, DOI:10.1007/978-3-0348-7301-7_16
  34. T.Roubíček: Proximity-space methods in optimization with constraints. Section 9.4 in: Modern Mathematical Methods of Optimization. Mathematical Topics 1 (Ed. K.-H.Elster), Akademie Verlag, Berlin, 1993, pp.362-373. ISBN:978-3055014529. (A preprint from 1988, also in Russian.) ZBL:793.90071
  35. T.Roubíček: Generalized solutions in optimization. In: Proc. 25th Conf. on Decision and Control, Athens, Dec. 10-12, 1986, pp. 1832-1835.

IV. Some others:

  1. T.Roubíček: Phase-field fracture in finitely-strained viscoelastic solids in an Eulerian formulation. In: Fracture as an Emergent Phenomenon (Eds. P.Diehl, R.Lipton, A.Pandolfi, T.Wick) Oberwolfach Rep. No.2024/1, Mathematisches Forschungsinst. Oberwolfach, 2024, pp.49-52, DOI:10.4171/OWR/2024/1
  2. T.Roubíček, C.G.Panagiotopoulos, C. Tsogka: Explicit time-discretisation of elastodynamics with some inelastic processes at small strains. Preprint arXiv no.1903.11654, 2019.
  3. T.Roubíček: Thermodynamics of magnetoelastic materials at large strains. In: Mathematics of Magnetoelastic Materials (Eds. C.Garcia-Cervera, M.Kružík, C.Liu, A.Schlömerkemper) Oberwolfach Rep. No.51/2016, Mathematisches Forschungsinst. Oberwolfach, 2016, pp.2924-2926, DOI:10.4171/OWR/2016/51
  4. T.Roubíček: Abstract thermodynamics on duals to unital Banach algebras. In: Variational Methods for Evolution (Eds. L. Ambrosio, A.Mielke, M. Peletier, G.Savaré) Oberwolfach Rep. No.2014/57, Mathematisches Forschungsinst. Oberwolfach, 2014, pp.3211-3214, DOI:10.4171/OWR/2014/57
  5. T.Roubíček: A model of rupturing lithospheric faults with re-occurring earthquakes. In: 40th Workshop Intl. School Geophys. "Properties and Processes of Crustal Fault Zones", Erice, Sicily, May 2013, p.78.
  6. J.Jarušek, C.Rohde, T.Roubíček, A.-M.Sändig, K.G.Siebert, W.L.Wendland: "Christof Eck, 24.04.1968 - 14.09.2011". Zeit. f. angew. Math. Mech. 93 (2013), 717-718.
  7. T.Roubíček: "J. Nečas and Industrial Mathematics". In: Selected works of Jindřich Nečas (Eds.Š.Nečasová et al.), Birkhäuser, Basel, 2015, pp.716-717, ISBN 978-3-0348-0230-7.
  8. T.Roubíček: "Zářné zítřky matematického modelování?" Verze s neautorizovanými významove zkreslujícími změnami generovanými redakcí: Vesmír 91 (2012), 484-487. Errata: Vesmír 91 (2012), 689. Opravená autorizovaná verze na webu v pdf.
  9. T.Roubíček: Inviscid limit of viscoelasticity with delamination. In: Variational Methods for Evolution (Eds. A.Mielke, F.Otto, G.Savaré, U.Stefanelli) Oberwolfach Rep. No.55/2011, Mathematisches Forschungsinst. Oberwolfach, 2011, pp.3175-3177. DOI: 10.4171/OWR/2011/55
  10. T.Roubíček, U.Stefanelli (Eds): Rate-Independent Evolution and Material Modeling (Special Section of EQUADIFF 2007) Pubblicazione IMATI-CNR, 29PV10/27/0, Pavia, 2010. ISSN 1772-8964.
  11. J.Zeman, A.Mielke, T.Roubíček: Numerical treatment of a rate-independent model of nonlocal damage. Complete damage in elastic and viscoelastic media and its energetics. Abstract no.1614 , 4th European Conf. Comput. Mech. (ECCM 2010).
  12. T.Roubíček: Across multiscales in solid mechanics via Gamma-convergence in the context of quasistatic evolution. In: Microstructures in Solids: From Quantum Models to Continua (Eds.: A.Mielke, M.Ortiz) Oberwolfach Rep. No.2010/14, Mathematisches Forschungsinst. Oberwolfach, 2010, pp.785-787. DOI: 10.4171/OWR/2010/14
  13. T.Roubíček: Computational approaches to rate-independent processes: via Gamma-convergence to multiscale modelling (C.Carstensen, B.Engquist, eds.), Oberwolfach Rep. No.2009/29, Mathematisches Forschungsinst. Oberwolfach, 2009, pp.1645-1648; DOI: 10.4171/OWR/2009/29.
  14. M.Kružík, T.Roubíček: Matematické a počítačové modelování aktivních materiálů. Vesmír 88 (2009), 21-23.
  15. M.Kočvara, T.Roubíček: "Jiří V. Outrata, sailing analyst, becomes sixty." Appl. Math 52 (2007), 449-452.
  16. T.Roubíček: Zamyšlení nad matematikou, profesory, a jiné. Elektronický časopis iForum, UK, Praha, červen 2007.
  17. G. Dal Maso, G. Francfort, A. Mielke, T.Roubíček (Eds.): Analysis and Numerics for Rate-Independent Processes. Oberwolfach Rep. No.11/2007 Mathematisches Forschungsinst. Oberwolfach, 2007.
  18. T.Roubíček: Rate-independent damage at large strains In: Analysis and Computation of Microstructures in Finite Plasticity (K.Hackl, S.Conti, M.Ortiz eds.), Oberwolfach Rep. No.52/2005, Mathematisches Forschungsinst. Oberwolfach, 2005, pp. 3009-3012.
  19. T.Roubíček: Incompressible ionized fluid mixtures. In: Thermodynamische Materialtheorie (K.Hutter, I.Müller, L.Truskinovski, eds.), Oberwolfach Rep. No.55/2004, Mathematisches Forschungsinst. Oberwolfach, 2004, pp.3008-3009.
  20. M.Kružík, T.Roubíček: Mesoscopic model of microstructure evolution in shape memory alloys with applications to NiMnGa. Preprint IMA No.2003, Univ.of Minnesota, Minneapolis, November 2004. DOI: 10.13140/RG.2.2.12199.98728.
  21. J. Kratochvíl, T.Roubíček: Obituary for Jindřich Nečas. ISIMM Newsletter (electronic) 02/2003
  22. J. Haslinger, M. Kočvara, T.Roubíček: Optimal control of distributed parameter systems. ERCIM News, 40, January 2000, 24-25.
  23. J. Málek, T. Roubíček, J. Stará: K sedmdesátinám profesora Jindřicha Nečase. Bulletin české společnosti pro mechaniku 3 (1999), 26-29.
  24. T.Roubíček: "Mathematical methods in materials science" at IMA. Kybernetika 31 (1995), 683.
  25. T.Roubíček: Konvexní kompaktifikace Lebesgueových prostorů a jejich aplikace. Doktorská disertace, AV ČR, 1994.
  26. T.Roubíček: Fifth Intl. Coll. on Free Boundary Problems: Theory and Applications. Kybernetika 26 (1990), 518-519.
  27. T.Roubíček: On sigma-compact extensions of Banach spaces. Unpublished. 1989. DOI: 10.13140/RG.2.2.30413.49129
  28. J.Nečas, I.Hlaváček, T.Roubíček, J.Voldřich: Matematické modely mechaniky kontinua I. ÚVÚ, Škoda, Plzeň, 1987.
  29. T.Roubíček: Optimální řízení nelineárních parabolických rovnic. Kandidátská disertace, Fakulta strojní ČVUT, Praha, 1986.
  30. J.Jarušek, T.Roubíček: Optimální řízení termoelastických procesů I. ÚTIA ČSAV, Praha, 1986.
  31. J.Nečas, I.Hlaváček, J.Haslinger, J.Mandel, T.Roubíček, Š.Zámečník: Optimalizace termoelastických systémů III. ÚVÚ, Škoda, Plzeň, 1985.
  32. J.Nečas, I.Hlaváček, J.Haslinger, J.Mandel, T.Roubíček, Š.Zámečník: Optimalizace termoelastických systémů II. ÚVÚ, Škoda, Plzeň, 1984.
  33. T.Roubíček: Hybridní řešení difúze a konvekce. Automatizace 25 (1982), 264-265.

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