4 papers
Fluid-Structure interactions with Navier- and full-slip boundary conditions
AntonÃn ÄeÅ¡Ãk, 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 BeneÅ¡ová, Malte Kampschulte, Martin KružÃk
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…