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math.AP2026
Fluid-Structure interactions with Navier- and full-slip boundary conditions
Antonín Češík, Malte Kampschulte, Sebastian Schwarzacher
We show the existence of weak solutions to the fluid-structure interaction problem of a largely deforming viscoelastic bulk solid with a viscous fluid governed by the incompressibl…
math.AP2023
Inertial (self-)collisions of viscoelastic solids with Lipschitz boundaries
Antonín Češík, Giovanni Gravina, Malte Kampschulte
We continue our study, started in arXiv:2212.00705, of (self-)collisions of viscoelastic solids in an inertial regime. We show existence of weak solutions with a corresponding cont…
math.AP2023
Convex hull property for elliptic and parabolic systems of PDE
Antonín Češík
We study the convex hull property for systems of partial differential equations. This is a generalisation of the maximum principle for a single equation. We show that the convex hu…