39 citations · 121 across the 61 of their papers we have counts for
66 papers
Steady Motion of a Self-Propelled Body in a Viscous Fluid: Dirichlet Boundary Conditions with Nonzero Flux
Šárka Nečasová, Arnab Roy, Ana Leonor Silvestre
We study the steady self-propelled motion of a rigid body immersed in an incompressible viscous fluid occupying an exterior domain in . In a body-fixed reference fram…
On the Vanishing Viscosity and Magnetic Diffusion Limit for Incompressible Magnetohydrodynamics
Sarka Necasova, Tong Tang, Yuanjing Tang
The article focuses on the inviscid and non-resistive limit of the incompressible magnetohydrodynamics (MHD) equations in a bounded domain. We derive sufficient conditions for the…
Steady Self-Propelled Motion of a Rigid Body in a Viscous Fluid with Navier-Slip Boundary Conditions
Sarka Necasova, Arnab Roy, Ana Leonor Silvestre
We investigate the steady self-propelled motion of a rigid body immersed in a three-dimensional incompressible viscous fluid governed by the Navier-Stokes equations. The analysis i…
On an Euler-Schrödinger system appearing in laser-plasma interaction
Kuntal Bhandari, Bernard Ducomet, Šarka Nečasová +1
We consider the Cauchy problem for the barotropic Euler system coupled to a vector Schrödinger equation in the whole space. Assuming that the initial density and vector potential a…
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…
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…
On the trajectory of a light small rigid body in an incompressible viscous fluid
Marco Bravin, Šárka Nečasová
In this paper we study the dynamics of a small rigid body in a viscous incompressible fluid in dimension two and three. More precisely we investigate the trajectory of the rigid bo…
On the regularity of weak solutions to the fluid-rigid body interaction problem
Boris Muha, Šárka Nečasová, Ana Radošević
We study a 3D fluid-rigid body interaction problem. The fluid flow is governed by 3D incompressible Navier-Stokes equations, while the motion of the rigid body is described by a sy…
Homogenization of the two-dimensional evolutionary compressible Navier-Stokes equations
Šárka Nečasová, Florian Oschmann
We consider the evolutionary compressible Navier-Stokes equations in a two-dimensional perforated domain, and show that in the subcritical case of very tiny holes, the density and…