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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…
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…
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…
Existence of strong solutions for a perfect elastic beam interacting with Navier-Stokes equations
Sebastian Schwarzacher, Pei Su
A perfectly elastic beam is situated on top of a two dimensional fluid canister. The beam is deforming in accordance to an interaction with a Navier-Stokes fluid. Hence a hyperboli…
Ladyzhenskaya-Prodi-Serrin condition for fluid-structure interaction systems
Dominic Breit, Prince Romeo Mensah, Sebastian Schwarzacher +1
We consider the interaction of a viscous incompressible fluid with a flexible shell in three space dimensions. The fluid is described by the three-dimensional incompressible Navier…
Injectivity in second-gradient Nonlinear Elasticity
D. Campbell, S. Hencl, A. Menovschikov +1
We study injectivity for models of Nonlinear Elasticity that involve the second gradient. We assume that is a domain, satisfie…