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arXiv · 1607.01113

Global Existence for the Ellipsoidal BGK Model with Initial Large Oscillations

Renjun Duan·Yong Wang·Tong Yang
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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}.

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Renjun Duan, Yong Wang, Tong Yang. 2016-07-05. Global Existence for the Ellipsoidal BGK Model with Initial Large Oscillations. https://arxiv.org/abs/1607.01113

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