39 citations · 121 across the 61 of their papers we have counts for
8 papers · 1 filter
A variational approach to the modeling of compressible magnetoelastic materials
Barbora Benešová, Šárka Nečasová, Jan Scherz +1
We analyze a model of the evolution of a (solid) magnetoelastic material. More specifically, the model we consider describes the evolution of a compressible magnetoelastic material…
Rigid body in compressible flow with general inflow-outflow boundary data
Šimon Axmann, Šárka Nečasová, Ana Radošević
We study the motion of a rigid body within a compressible, isentropic, and viscous fluid contained in a fixed bounded domain . The fluid's behavior is descri…
On the multicomponent reactive flows in moving domains
Kuntal Bhandari, Stanislav Kračmar, Šárka Nečasová +1
This paper is concerned with the existence of global-in-time weak solutions to the multicomponent reactive flows inside a moving domain whose shape in time is prescribed. The flow…
Asymptotic limit of the compressible Navier-Stokes system on domains with rough boundaries
Kuntal Bhandari, Markus Gahn, Šárka Nečasová +2
In this paper, we study the asymptotic behavior of solutions to the compressible Navier-Stokes system considered on a sequence of spatial domains, whose boundaries exhibit fast osc…
Weak solutions and singular limits for a compressible fluid-structure interaction problem with slip boundary conditions
Yadong Liu, Sourav Mitra, Šárka Nečasová
We study a system describing the compressible barotropic fluids interacting with (visco) elastic solid shell/plate. In particular, the elastic structure is part of the moving bound…
Dissipative solutions to the model of a general compressible viscous fluid with the Coulomb friction law boundary condition
Sarka Necasova, Justyna Ogorzaly, Jan Scherz
We study a model of a general compressible viscous fluid subject to the Coulomb friction law boundary condition. For this model, we introduce a dissipative formulation and prove th…
Low Mach Number Limit of a Diffuse Interface Model for Two-Phase Flows of Compressible Viscous Fluids
Helmut Abels, Yadong Liu, Šárka Nečasová
In this paper, we consider a singular limit problem for a diffuse interface model for two immiscible compressible viscous fluids. Via a relative entropy method, we obtain a converg…
Global solutions of Euler-Maxwell equations with dissipation
Bernard Ducomet, Šárka Nečasová, John Sebastian H. Simon
We consider the Cauchy problem for a damped Euler-Maxwell system with no ionic background. For smooth enough data satisfying suitable so-called dispersive conditions, we establish…