2 citations · 5 across the 13 of their papers we have counts for
13 papers
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…
On the passage from nonlinear to linearized viscoelastodynamics
Barbora Benešová, Malte Kampschulte, Martin Kružík
The equations of linearized viscoelastodynamics in Kelvin-Voigt rheology are rigorously derived from a nonlinear model that satisfies the time-dependent frame indifference in the s…
Zero-extension convergence and Sobolev spaces on changing domains
Nikita Evseev, Malte Kampschulte, Alexander Menovschikov
We extend the definition of weak and strong convergence to sequences of Sobolev-functions whose underlying domains themselves are converging. In contrast to previous works, we do s…
Regularity estimates of a fluid-free surface evolution
Malte Kampschulte, Joonas Niinikoski, Sebastian Schwarzacher
In this work the evolution of a fluid droplet in vacuum is considered. This means that the surface tension and the fluid forces are in equilibrium at the free boundary. The fluid i…
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…
Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts
Malte Kampschulte, Boris Muha, Srđan Trifunović
In this paper, we study an interaction problem between a compressible viscous fluid and a nonlinear viscoelastic solid fully immersed in the fluid, coupled together on th…
Inertial evolution of non-linear viscoelastic solids in the face of (self-)collision
Antonín Češík, Giovanni Gravina, Malte Kampschulte
We study the time evolution of non-linear viscoelastic solids in the presence of inertia and (self-)contact. For this problem we prove the existence of weak solutions for arbitrary…
Unrestricted deformations of thin elastic structures interacting with fluids
Malte Kampschulte, Sebastian Schwarzacher, Gianmarco Sperone
In this paper we discuss the motion of a beam in interaction with fluids. We allow the beam to move freely in all coordinate directions. We consider the case of a beam situated in…
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…
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…
A variational approach to hyperbolic evolutions and fluid-structure interactions
Barbora Benešová, Malte Kampschulte, Sebastian Schwarzacher
We introduce a two time-scale scheme which allows to extend the method of minimizing movements to hyperbolic problems. This method is used to show the existence of weak solutions t…
A space-time relaxation for optimal control problems
Malte Kampschulte
We introduce a vertical type relaxation for optimal control problems which only have -coercivity for their controls. Usually such problems feature both concentration and oscil…
Gradient Young measures generated by quasiconformal maps in the plane
Barbora Benešová, Malte Kampschulte
In this contribution, we completely and explicitly characterize Young measures generated by gradients of quasiconformal maps in the plane. By doing so, we generalize the results of…