12 papers
Homogenization of the compressible Navier-Stokes equations via two-scale convergence in perforated domains
Markus Gahn, Kuntal Bhandari, Šárka NeÄasová +1
We study the homogenization of the compressible isentropic Navier-Stokes equations in periodically perforated domains where the size of the obstacles is of the same order as the di…
Weak-strong uniqueness and low Mach number limit for a viscous compressible fluid around a rotating body
Thomas Eiter, Šárka NeÄasová, Florian Oschmann
We study the flow of an isothermal compressible Newtonian fluid around a body that performs a (time-independent) rigid motion. We derive a weak-strong uniqueness principle, and sho…
Maximal regularity for a compressible fluid-structure interaction system with Navier-slip boundary conditions
Kuntal Bhandari, Imene Aicha Djebour, Šárka NeÄasová
We investigate a fluid-structure interaction system in which the dynamics of the fluid is described by the compressible Navier-Stokes equations, while the elastic structure is mode…
Steady weak solutions to an inflow/outflow driven compressible fluid-structure interaction problem
Boris Muha, Šárka NeÄasová, Milan Pokorný +2
We study a stationary 3D/2D fluid-structure interaction problem between an elastic structure described by the linear plate equation and a fluid described by the compressible Navier…
Dissipative solutions to a Beris-Edwards type model for compressible active nematic liquid crystals
Kuntal Bhandari, Apala Majumdar, Šárka NeÄasová
We study the hydrodynamics of compressible active nematic liquid crystals in a three-dimensional and bounded domain, with a nonlinear viscosity tensor and nonhomogeneous boundary d…
On dissipative turbulent solutions to the compressible anisotropic Navier-Stokes equations in unbounded domains
OndÅej Kreml, Šárka NeÄasová, Tong Tang
Inspired by Abbatiello, Feireisl and Novotný, we prove the global existence of dissipative turbulent solution for the compressible Navier-Stokes equations with anisotropic viscous…