Dr Antonín Češík
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Antonín ČešíkResearch Fellow |
I am a Postdoctoral Research Fellow in the project ERC/UKRI CONCENTRATE since November 2024. Prior to that, I completed my PhD at Charles University, Prague, under the supervision of Sebastian Schwarzacher.
My research is at the intersection of the calculus of variations, PDEs, and geometric measure theory. I develop rigorous mathematical frameworks to model complex physical phenomena in continuum mechanics. In particular I have worked with evolutionary problems, dynamic contact, and most recently, the motion of microscopic defects in materials.
Currently, my focus is on dislocation motion in rate-dependent plasticity. The challenge here is to handle the intricate interplay of the geometry with the governing flow. To treat this, we incorporate the theory of currents, techniques from Young measures and gradient flows in metric spaces.
Curriculum Vitae
Publications
- Inertial evolution of non-linear viscoelastic solids in the face of (self-)collision (with G. Gravina and M. Kampschulte)
Calculus of Variations and PDE 63(2):55 (2024). - Stability and convergence of in time approximations of hyperbolic elastodynamics via stepwise minimization (with S. Schwarzacher)
Journal of Differential Equations, 415:434 486 (2025) - Inertial (self-)collisions of viscoelastic solids with Lipschitz boundaries (with G. Gravina and M. Kampschulte)
Advances in Calculus of Variations, 18, no. 2 (2025): 439-466 - Convex hull property for elliptic and parabolic systems of PDE
Nonlinear Analysis, 245:113554 (2024)