61 citations · 341 across the 41 of their papers we have counts for
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Time-periodic weak solutions for an incompressible Newtonian fluid interacting with an elastic plate
Claudiu Mîndrilă, Sebastian Schwarzacher
Under the action of a time-periodic external forces we prove the existence of at least one time-periodic weak solution for the interaction between a three-dimensional incompressibl…
Compressible fluids interacting with 3D visco-elastic bulk solids
Dominic Breit, Malte Kampschulte, Sebastian Schwarzacher
We consider the physical setup of a three-dimensional fluid-structure interaction problem. A viscous compressible gas or liquid interacts with a nonlinear, visco-elastic, three-dim…
Construction of a right inverse for the divergence in non-cylindrical time dependent domains
Olli Saari, Sebastian Schwarzacher
We construct a stable right inverse for the divergence operator in non-cylindrical domains in space-time. The domains are assumed to be Hölder regular in space and evolve continuou…
Variational methods for fluid-structure interaction and porous media
B. Benesova, M. Kampschulte, S. Schwarzacher
In this work we consider a poroelastic flexible material that may deform largely which is situated in an incompressible fluid driven by the Navier-Stokes equations in two or three…
Navier-Stokes-Fourier fluids interacting with elastic shells
Dominic Breit, Sebastian Schwarzacher
We study the motion of a compressible heat-conducting fluid in three dimensions interacting with a non-linear flexible shell. The fluid is described by the full Navier--Stokes--Fou…