39 citations · 121 across the 61 of their papers we have counts for
9 papers · 1 filter
On a nonlocal two-phase flow with convective heat transfer
Šárka Nečasová, John Sebastian H. Simon
We study a system describing the dynamics of a two-phase flow of incompressible viscous fluids influenced by the convective heat transfer of Caginalp-type. The separation of the fl…
A collision result for both non-Newtonian and heat conducting Newtonian compressible fluids
Šárka Nečasová, Florian Oschmann
We generalize the known collision results for a solid in a 3D compressible Newtonian fluid to compressible non-Newtonian ones, and to Newtonian fluids with temperature depending vi…
On the Motion of a Body with a Cavity Filled with Magnetohydrodynamic Fluid
Bingkang Huang, Václav Mácha, Šárka Nečasová
We study the dynamics of a coupled system, formed by a rigid body with a cavity entirely filled with magnetohydrodynamic compressible fluid. Our aim is to derive the global existen…
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams
Ondřej Kreml, Václav Mácha, Šárka Nečasová +1
In this paper, we study a nonlinear fluid-structure interaction problem between a viscoelastic beam and a compressible viscous fluid. The beam is immersed in the fluid which fills…
A multifluid model with chemically reacting components -- construction of weak solutions
Piotr B. Mucha, Sarka Necasova, Maja Szlenk
We investigate the existence of weak solutions to a multi-component system, consisting of compressible chemically reacting components, coupled with the compressible Stokes equation…
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains
Kuntal Bhandari, Bingkang Huang, Šárka Nečasová
In this paper, we consider the heat-conducting compressible self-gravitating fluids in time-dependent domains, which typically describe the motion of viscous gaseous stars. The flo…
Stability analysis of the Navier-Stokes velocity tracking problem with bang-bang controls
Alberto Domínguez Corella, Nicolai Jork, Šarká Nečasová +1
This paper focuses on the stability of solutions for a velocity-tracking problem associated with the two-dimensional Navier-Stokes equations. The considered optimal control problem…
The compressible Navier-Stokes equations with slip boundary conditions of friction type
Sarka Necasova, Justyna Ogorzaly, Jan Scherz
We show the global existence of a weak solution for the Navier-Stokes equations for compressible fluids with slip boundary conditions of friction type.
Energy equality for the compressible Primitive Equations with vacuum
Sarka Necasova, Maria Angeles Rodriguez-Bellido, Tong Tang
The paper deals with the problem of the energy conservation for the weak solutions to the compressible Primitive Equations (CPE) system with degenerate viscosity. The sufficient co…