
Selected Publications
Find here a complete list of publications.
B. Benesova, M. Kampschulte, S. Schwarzacher: A variational approach to hyperbolic evolutions and fluidstructure interactions, JEMS, (2023), DOI 10.4171/JEMS/1353, Paper.
M. Kampschulte, S. Schwarzacher, G. Sperone: Unrestricted deformations of thin elastic structures interacting with fluids (2023), JMPA, Vol. 173, p. 96148 Paper.
O.Saari, S. Schwarzacher: Construction of a right inverse for the divergence in noncylindrical time dependent domains, (2023), Annals of PDE, Vol. 9, p. 8 Paper.
B. Benesova, M. Kampschulte, S. Schwarzacher: Variational methods for fluidstructure interaction and porous media (2021), Nonlinear Analysis RWA, Vol. 71, p. 103819 Paper.
C. Mindrila, S. Schwarzacher: Timeperiodic weak solutions for an incompressible Newtonian fluid interacting with an elastic plate, SIMA, Vol. 54, p. 41394162, (2022), Paper.
G. Gravina, S. Schwarzacher, O. Soucek, K. Tuma: Contactless rebound of elastic bodies in a viscous incompressible fluid, Journal of Fluid Mechanics, Vol. 942, p. A34, (2022), Paper.
S. Schwarzacher, M. Sroczinski: Weakstrong uniqueness for an elastic plate interacting with the Navier Stokes equation, SIAM Journal on Mathematical Analysis, Vol. 54, p. 41044138, (2022), Paper.
S. Schwarzacher, B. She: On numerical approximations to fluidstructure interactions involving compressible fluids, Numerische Mathematik, Vol. 151, p. 219278,(2022), Preprint.
D. Breit and S. Schwarzacher: NavierStokesFourier fluids interacting with elastic shells, (2021), accepted at Annali della Scuola Normale di Pisa  Classe di Scienze, Vol. 24, p. 619?690, (2023), Preprint.
D. Breit, A. Cianchi, L. Diening, S. Schwarzacher: Global Schauder estimates for the pLaplace system, Arch. Rat. Mech. Anal, Vol. 243, p. 201255, (2022), Paper.
B. Muha, S. Schwarzacher: Existence and regularity for weak solutions for a fluid interacting with a nonlinear shell in 3D, Annal. l'Inst. H. Poinc. (C) Anal. Non Lin., Vol. 6, p. 13691412, (2022), Paper.
R. Hofer, K. Kowalczyk, S. Schwarzacher: Darcy's law as low Mach and homogenization limit of a compressible fluid in perforated domains, Vol. 31, p. 1787  1819, (2021). Preprint.
C. Mindrila, S. Schwarzacher: Existence of steady very weak solutions to NavierStokes equations with nonNewtonian stress tensors, JDE, Vol. 279, p. 1045, (2021). Preprint.
F. Rindler, S. Schwarzacher, J. J. L. Velazquez: Twospeed solutions to nonconvex rateindependent systems, Arch. Rat. Mech. Anal., Vol. 239, p. 16671731 (2021). Preprint.
U. Gianazza and S. Schwarzacher: Selfimproving property of the fast diffusion equation, JFA, Vol. 277, p. 108291, (2019). Preprint.
M. Bulicek, J. Burczak, S. Schwarzacher: Well posedness of nonlinear parabolic systems beyond duality, Annal. l'Inst. H. Poinc. (C) Anal. Non Lin., Vol. 36, p. 14671500, (2019). Preprint.
U. Gianazza and S. Schwarzacher: Selfimproving property of degenerate parabolic equations of porous mediumtype, (2019), Amer. J. Math., Vol.
141, p. 399446. Preprint.
Y. Lu and S. Schwarzacher: Homogenization of the compressible NavierStokes equations in domains with very tiny holes (2018), JDE 265 (4), 13711406. Preprint.
D. Breit and S. Schwarzacher: Compressible fluids interacting with a linearelastic shell, Arch. Rat. Mech. Anal, (2018), Vol. 228, p. 495562.
Preprint.
D. Breit, A. Cianchi, L. Diening, T. Kuusi and S. Schwarzacher: Pointwise CalderonZygmund gradient estimates for the pLaplace system, JMPA, (2018), Vol.114, p. 146190. Preprint.
F. Rindler, S. Schwarzacher, E. Suli: Regularity and approximation of strong solutions to rateindependent systems, M3AS, (2017), Vol.27, p. 25112556. Preprint.
L. Diening, S. Schwarzacher, B. Stroffolini and A. Verde: Parabolic Lipschitz truncation and Caloric Approximation, Calc. of Var. and PDE, (2017), Vol. 56, p. 120. Preprint.
M. Bulicek, J. Burczak and S. Schwarzacher: A unified theory for some non Newtonian fluids under singular forcing, SIAM J. Math. Anal., (2016), vol. 48, p. 4241–4267. Preprint.
M. Bulicek and S. Schwarzacher: Existence of very weak solutions to elliptic systems of pLaplacian type, Calc. of Var. and PDE, (2016), vol. 55, 14 pp Preprint.
M. Bulicek, L. Diening and S. Schwarzacher: Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems, Analysis and PDE, (2016), vol. 9, p. 1115–1151 Preprint.
J. Frehse, S. Schwarzacher: On regularity of the time derivative for degenerate parabolic systems, SIAM J. Math. Anal., (2015), vol. 47, p.39173943 Preprint.
D. Breit, L. Diening, S. Schwarzacher: Finite element methods for the
p(.)Laplacian, SIAM J. Numer. Anal., (2015), vol. 53, p. 551572 Preprint.
S. Schwarzacher: HölderZygmund Estimates for Parabolic Degenerate Systems. J. Differential Equations, (2014), vol. 256, p. 24232448
Preprint.
D. Breit, L. Diening, S. Schwarzacher: Solenoidal Lipschitz truncation for parabolic PDE's. Math. Models Methods Appl. Sci., (2013), vol. 23, p. 26712700 Preprint.
L. Diening, Ch. Kreuzer, S. Schwarzacher: Convex Hull Property and Maximum Principles for Finite Element Minimizers of General Convex Functionals. Numer. Math. (2013), vol. 124, p. 685700.
Preprint.
L. Diening, P. Kaplicky, S. Schwarzacher:
BMO estimates for the pLaplacian, Nonlinear Anal., (2012), Vol. 75, p. 637650, Preprint.

