具有初始大振荡的椭球BGK模型的整体解的存在性
Global Existence for the Ellipsoidal BGK Model with Initial Large Oscillations
摘要：
在\cite{Ho}中引入椭球BGK模型，以拟合经典BGK模型的Navier-Stokes近似中正确的Prandtl数。本文对一类允许有大振荡的初值，建立了模型上柯西问题的整体温和解的存在性。该证明的动机是最近在\cite{DHWY}中对玻尔兹曼方程同一主题的研究。
英文摘要：
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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