43 citations · 97 across the 6 of their papers we have counts for
3 papers · 1 filter
Maximal turbulence as a selection criterion for measure-valued solutions
Christian Klingenberg, Simon Markfelder, Emil Wiedemann
The quest for a good solution concept for the partial differential equations (PDEs) arising in mathematical fluid dynamics is an outstanding open problem. An important notion of so…
BGK model for rarefied gas in a bounded domain
Hongxu Chen, Christian Klingenberg, Marlies Pirner
We study the Bathnagar-Gross-Krook (BGK) equation in a smooth bounded domain featuring a diffusive reflection boundary condition with general collision frequency. We prove that the…
A consistent BGK model with velocity-dependent collision frequency for gas mixtures
Jeff Haack, Cory Hauck, Christian Klingenberg +2
We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entro…