Curriculum vitae

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Education

• 1993 Ph.D. in Mathematical Analysis (Charles University, Prague; advisor J. Nečas)
• 2007 DSc. (higher doctoral degree received from the Academy of Sciences of the Czech Republic)

Positions

• Since January 1, 2009 - Professor of Mathematics (Mathematical Analysis), Charles University in Prague (Czech Republic), Faculty of Mathematics and Physics, Mathematical Institute of Charles University
• 1998 - 2008 - Associate professor at the same institution
• Since 1997 - Head of Division of Mathematical Modeling

Supervised Thesis

• Finished Ph.D.
  • Dalibor Pražák (Asymptotic Behaviour of Dissipative Equations by the Method of Trajectories, mathematical analysis, 2001)
  • Jaroslav Hron (Fluid Structure Interaction with Applications in Biomechanics, mathematical modeling, 2001)
  • Miroslav Bulíček (Navier's Slip and Evolutionary Navier-Stokes-Fourier- Like Systems with Pressure, Shear-Rate and Temperature Dependent Viscosity, mathematical modeling, 2006)
  • Petr Častulík (Analysis of Kinetic Equations and their Fluid Dynamic Limits, mathematical modeling, 2007)
• In Progress Ph.D.
  • Martin Lanzendörfer
  • Eva Ulrychová
  • Oldřich Ulrych
  • Petra Pustějovská
  • Marek Kobera
  • Karel Tůma
  • Vojtěch Kulvait
• Finished M.S.
  • Jaroslav Hron (1996)
  • Dalibor Pražák (1997)
  • Petr Častulík (1999)
  • Petr Juruš (1999, Řešení s hodnotami v mírách pro nelineární hyperbolickou rovnici 2. řádu)
  • Marek Kobera (1999, Směs tekutin - analýza jednoduchých modelů)
  • Michal Franta (2002, Proudění nestlačitelných tekutin s viskozitou závislou na tlaku)
  • Miroslav Bulíček (2003, Dynamické systémy v mechanice nestlačitelných tekutin)
  • Martin Lanzendörfer (2003, Numerická simulace proudění v ložisku)
  • Luboš Tomášek (2005, Proudění tekutin, jejichž konstitutivní rovnice se mění v závislosti na velikosti napětí)
  • Jan Koutný (2005, Analýza některých modelů vicesložkových tekutin)
  • Jan Surovec (2006)
  • Jan Kratochvíl (2007)
  • Petra Pustějovská (2007)
  • Martin Holeček (2007, Zobecněné Stokesovy systémy studované z pohledu teoretické analýzy)
  • Vojtěch Kulvait (2008, Vliv difuze tekutin na vlastnosti lineárně pružných materiálů)
  • Karel Tůma (2008)
  • Jan Pušman (2009, Existenční teorie pro velká data pro nestacionární proudění vazkopružných tekutin)
• In Progress M.S.

Research Projects (last five years)

• Czech Science Foundation: 201/03/0934, 201/06/0352, 201/09/0917 (main investigator) and 201/08/0315, 201/05/0164 (joint investigator);
• Ministry of Education, Youth and Sports: LC06052 The Nečas Center for Mathematical Modeling (2006-2010), center for fundamental research (Main investigator-coordinator);
• EU: project HYKE (2003-2006) - a member of the Training Committee;

Editorial board

• Theoretical and Computational Fluid Mechanics (a member of Advisory Board)
• Applications of Mathematics, Mathematical Problems in Engineering (2006-2007)
• International Journal of Engineering Science
• Differential Equations and Nonlinear Mechanics
• Mathematica Bohemica
• Commentationes Mathematicae Universitatis Carolinae

Longer stays during last six years

• 2003, 2004 Texas A&M University, College Station, USA(3 + 5 months)
• 2004, 2005 University of Bonn (2 + 1 months)
• 2003 Université Marne-la-Valleée, France (1 month)
• 2007 Université du Toulon du Var, France (1 month)

Invited lectures during last six years

1. Workshop Numerical and Analytical methods in solving non-linear PDE’s, Marne-la-Valleée, July, 2003;
2. Workshop on Analysis and Numerics of Non-Newtonian Fluids, Kirchzarten, Germany, April 2003;
3. A-HYKE-conference, Vienna, February, 2003;
4. Conference SES2004, Lincoln, Nebrasca, USA, October 2004;
5. Conference Partial Differential Equations in Mathematical Physics (in memory of O. A. Ladyzhenskaya), Levico (Trento), Italy, October, 2004;
6. Seventh RIMS Workshop on Mathematical Analysis in Fluid and Gas Dynamics, Kyoto, Japonsko, July 2005;
7. Conference Selfsimilar solutions in nonlinear PDEs, Banach Center, Bedlewo, September 2005;
8. SIAM conference on partial differential equations, Boston, USA, July 2006;
9. Workshop Partial Differential equations and fluid mechanics, Warwick, UK, May 2007;
10. Workshop Modeles math´ematiques en mécanique des fluides, Paris, France, December 2007;
11. Conference The 25th Kyushu Symposium of Partial Differential Equations, Kyushu, Japan, January 2008;
12. Workshop: Modeling, Simulation and Control of Flows, Heidelberg, May 2008;
13. EVEQ2008, international summer school, Prague, June 2008 (series of lectures);
14. World Congress of Nonlinear Analysts, Orlando, July 2008;
15. Conference Parabolic and Navier-Stokes equations, Bedlewo, Poland, September 2008;
16. Workshop Navier-Stokes equations: classical and generalized models at Centre di Ricerca Matematica Ennio De Giorgi, Pisa, Italy , September 2008;
17. International Winter School Non-newtonian Fluid Mechanics (series of lectures), Korbielów (Poland), February 2009;

Professional interests

• mathematical analysis
• PDE’s
• fluid mechanics
• continuum thermodynamics