173 citations
- University of WürzburgDE22 papers
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math.AP2020★ 6 cited
Hypocoercivity and reaction-diffusion limit for a nonlinear generation-recombination model
Gianluca Favre, Marlies Pirner, Christian Schmeiser
A reaction-kinetic model for a two-species gas mixture undergoing pair generation and recombination reactions is considered on a flat torus. For dominant scattering with a non-movi…
math.AP2020★ 2 cited
Thermalization of a rarefied gas with total energy conservation: existence, hypocoercivity, macroscopic limit
Gianluca Favre, Marlies Pirner, Christian Schmeiser
The thermalization of a gas towards a Maxwellian velocity distribution with the background temperature is described by a kinetic relaxation model. The sum of the kinetic energy of…
math.AP2017★ 38 cited
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…