16 citations · 28 across the 8 of their papers we have counts for
12 papers
Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange
Václav Mácha, Boris Muha, Šárka Nečasová +2
In this paper, we study a nonlinear interaction problem between a thermoelastic shell and a heat-conducting fluid. The shell is governed by linear thermoelasticity equations and en…
Local-in-time existence of strong solutions to a class of compressible non-Newtonian Navier-Stokes equations
Martin Kalousek, Václav Mácha, Šárka Nečasová
The aim of this article is to show a local-in-time existence of a strong solution to the generalized compressible Navier-Stokes equation for arbitrarily large initial data. The goa…
A Note on Measure-Valued Solutions to the Full Euler System
Václav Mácha, Emil Wiedemann
We construct two particular solutions of the full Euler system which emanate from the same initial data. Our aim is to show that the convex combination of these two solutions form…
Shocks Make the Riemann Problem for the Full Euler System in Multiple Space Dimensions Ill-posed
Christian Klingenberg, Ondřej Kreml, Václav Mácha +1
The question of (non-)uniqueness of one-dimensional self-similar solutions to the Riemann problem for hyperbolic systems of gas dynamics in sets of multi-dimensional admissible wea…
On the motion of rigid bodies in a perfect fluid
Eduard Feireisl, Václav Mácha
We consider the problem of motion of several rigid bodies immersed in a perfect compressible fluid. Using the method of convex integration we establish the existence of infinitely…
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.…
Non-uniqueness of admissible weak solutions to the compressible Euler equations with smooth initial data
Elisabetta Chiodaroli, Ondřej Kreml, Václav Mácha +1
We consider the isentropic Euler equations of gas dynamics in the whole two-dimensional space and we prove the existence of a initial datum which admits infinitely many…
Global continuity and BMO estimates for non-Newtonian fluids with perfect slip boundary conditions
Václav Mácha, Sebastian Schwarzacher
We study the generalized stationary Stokes system in a bounded domain in the plane equipped with perfect slip boundary conditions. We show natural stability results in oscillatory…
Gradient theory for a class of non-diagonal nonlinear elliptic systems
Miroslav Bulíček, Martin Kalousek, Petr Kaplický +1
We consider a class of nonlinear non-diagonal elliptic systems with -growth and establish the -integrability for all of any weak solution provided the corres…
Inviscid limit for the compressible Euler system with non-local interactions
Jan Březina, Václav Mácha
The collective behavior of animals can be modeled by a system of equations of continuum mechanics endowed with extra terms describing repulsive and attractive forces between the in…
Hölder continuity of velocity gradients for shear-thinning fluids under perfect slip boundary conditions
Václav Mácha, Jakub Tichý
This paper is concerned with non-stationary flows of sheart-hinning fluids in a bounded two-dimensional C^{2;1} domain. Assuming perfect slip boundary conditions, we provide a proo…
Gradient theory for a class of nondiagonal elliptic systems
Miroslav Bulíček, Martin Kalousek, Petr Kaplický +1
We show that the new result on Hölder continuity of solutions to a class of nondiagonal elliptic systems with -growth in [2] can be used to improve the theory for such sys…