178 citations · 1.1k across the 54 of their papers we have counts for
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On oscillatory solutions to the complete Euler system
Eduard Feireisl, Christian Klingenberg, Ondřej Kreml +1
The Euler system in fluid dynamics is a model of a compressible inviscid fluid incorporating the three basic physical principles: Conservation of mass, momentum, and energy. We sho…
The 2-d isentropic compressible Euler equations may have infinitely many solutions which conserve energy
Simon Markfelder, Christian Klingenberg
We consider the 2-d isentropic compressible Euler equations. It was shown in by E. Chiodaroli, C. De Lellis and O. Kreml that there exist Riemann initial data as well as Lipschitz…
The Riemann problem for the multidimensional isentropic system of gas dynamics is ill-posed if it contains a shock
Christian Klingenberg, Simon Markfelder
In this paper we consider the isentropic compressible Euler equations in two space dimensions together with particular initial data. The latter consists only of two constant states…
Task-based parallelization of an implicit kinetic scheme
Jayesh Badwaik, Matthieu Boileau, David Coulette +4
In this paper we present and implement the Palindromic Discontinuous Galerkin (PDG) method in dimensions higher than one. The method has already been exposed and tested in [4] in t…