Global existence for the ellipsoidal BGK model with initial large oscillations

Renjun Duan Yong Wang Tong Yang

Analysis of PDEs mathscidoc:1912.431010

arXiv preprint arXiv:1607.01113, 2016.7
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}.
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@inproceedings{renjun2016global,
  title={Global existence for the ellipsoidal BGK model with initial large oscillations},
  author={Renjun Duan, Yong Wang, and Tong Yang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211213328758574},
  booktitle={arXiv preprint arXiv:1607.01113},
  year={2016},
}
Renjun Duan, Yong Wang, and Tong Yang. Global existence for the ellipsoidal BGK model with initial large oscillations. 2016. In arXiv preprint arXiv:1607.01113. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211213328758574.
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