Global Existence for the Ellipsoidal BGK Model with Initial Large Oscillations
Analysis of PDEs
2017-08-09 v1
Abstract
The ellipsoidal BGK model was introduced in \cite{Ho} to fit the correct Prandtl number in the Navier-Stokes approximation of the classical BGK model. In the paper we establish the global existence of mild solutions to the Cauchy problem on the model for a class of initial data allowed to have large oscillations. The proof is motivated by a recent study of the same topic on the Boltzmann equation in \cite{DHWY}.
Keywords
Cite
@article{arxiv.1607.01113,
title = {Global Existence for the Ellipsoidal BGK Model with Initial Large Oscillations},
author = {Renjun Duan and Yong Wang and Tong Yang},
journal= {arXiv preprint arXiv:1607.01113},
year = {2017}
}
Comments
15 pages