3 papers
math.AP2026
Well-posedness theorems in fluid-structure interaction: perfectly elastic shells
Dominic Breit, Prince Romeo Mensah, Sebastian Schwarzacher +1
In this work, we consider the interaction of a 3D incompressible fluid with a 2D flexible shell that occupies (a part of) the boundary of the fluid domain. We assume that the shell…
math.AP2025
Time-Periodic Solutions for Hyperbolic-Parabolic Systems
Stanislav Mosny, Boris Muha, Sebastian Schwarzacher +1
Time-periodic weak solutions for a coupled hyperbolic-parabolic system are obtained. A linear heat and wave equation are considered on two respective -dimensional spatial domain…
math.AP2025
The Stokes problem with Navier boundary conditions in irregular domains
Dominic Breit, Sebastian Schwarzacher
We consider the steady Stokes equations supplemented with Navier boundary conditions including a non-negative friction coefficient. We prove maximal regularity estimates (including…