12 citations · 16 across the 17 of their papers we have counts for
18 papers
Homogenization of the compressible Navier-Stokes equations via two-scale convergence in perforated domains
Markus Gahn, Kuntal Bhandari, Šárka Nečasová +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 Nečasová, 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 Nečasová
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 Nečasová, 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 Nečasová
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
Ondřej Kreml, Šárka Nečasová, 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…
Weak solutions to a full compressible magnetohydrodynamic flow interacting with thermoelastic structure
Kuntal Bhandari, Bingkang Huang, Šárka Nečasová
This paper is concerned with an interaction problem between a full compressible, electrically conducting fluid and a thermoelastic shell in a two-dimensional setting. The shell is…
Energy Conservation and Vanishing Viscosity Limit for the Primitive Equations
Šárka Nečasová, Tong Tang, Emil Wiedemann +1
In this paper, we consider the problem of energy conservation for weak solutions of the inviscid Primitive Equations (PE) in a bounded domain. Based on the work [Bardos et al., Ons…
On existence of weak solutions to a Baer-Nunziato type system
Martin Kalousek, Šárka Nečasová
In this paper, a dissipative version of a compressible one velocity Baer--Nunziato type system for a mixture of two compressible heat conducting gases is considered. The complete e…
Quantitative homogenization of the compressible Navier-Stokes equations towards Darcy's law
Richard M. Höfer, Šárka Nečasová, Florian Oschmann
We consider the solutions to the compressible Navier-Stokes equations (NSE) in a domain periodically perforated by holes of diameter $\varep…
On the interaction between compressible inviscid flow and an elastic plate
Igor Kukavica, Šárka Nečasová, Amjad Tuffaha
We address a free boundary model for the compressible Euler equations where the free boundary, which is elastic, evolves according to a weakly damped fourth order hyperbolic equati…
Shape Optimization of hemolysis for shear thinning flows in moving domains
Valentin Calisti, Šárka Nečasová
We consider the D problem of shape optimization of blood flows in moving domains. Such a geometry is adopted to take into account the modeling of rotating systems and blood pump…
Analysis of a system modelling the interaction between the motion of a spring and a viscous gas
Sabrine Chebbi, Václav Mácha, Šárka Nečasová
We are concerned with a one dimensional flow of a compressible fluid which may be seen as a simplification of the flow of fluid in a long thin pipe. We assume that the pipe is on o…
Existence of weak solution for a compressible multicomponent fluid structure interaction problem
Martin Kalousek, Sourav Mitra, Šárka Nečasová
We analyze a system of PDEs governing the interaction between two compressible mutually noninteracting fluids and a shell of Koiter type encompassing a time dependent 3D domain fil…
On the Motion of a Pendulum with a Cavity Filled with a Compressible Fluid
Giovanni Paolo Galdi, Václav Mácha, Šárka Nečasová +1
We study the motion of the coupled system, , constituted by a physical pendulum, , with an interior cavity entirely filled with a viscous, compressible flui…
The global existence issue for the compressible Euler system with Poisson or Helmholtz couplings
Šárka Nečasová, Xavier Blanc, Raphaël Danchin +2
We consider the Cauchy problem for the barotropic Euler system coupled to Helmholtz or Poisson equations, in the whole space. We assume that the initial density is small enough, an…
On weak solutions to the problem of a rigid body with a cavity filled with a compressible fluid, and their asymptotic behavior
Giovanni Paolo Galdi, Václav Mácha, Šárka Nečasová
We prove the existence of a weak solution to the equations describing the inertial motions of a coupled system constituted by a rigid body containing a viscous compressible fluid.…
Weak-strong uniqueness for compressible Navier-Stokes system with slip boundary conditions on time dependent domains
Ondřej Kreml, Šárka Nečasová, Tomasz Piasecki
We consider the compressible Navier-Stokes system on time-dependent domains with prescribed motion of the boundary, supplemented with slip boundary conditions for the velocity. We…