初始值具有大震荡的椭圆BGK模型整体解的存在性

Global existence for the ellipsoidal BGK model with initial large oscillations

椭圆BGK模型的提出是为了正确匹配经典BGK模型的Navier-Stokes方程逼近中的Prandtl数.本文证明了在初始值有较大震荡情形下该模型Cauchy问题温和解的整体存在性,证明方法来源于最近关于Boltzmann方程类似问题的研究.

The ellipsoidal BGK model was introduced to fit the correct Prandtl number in the Navier-Stokes approximation of the classical BGK model.In this 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.