5 papers · 1 filter
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 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…
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…