论文标题

粘性汉堡 - vlasov方程的消失粘度极限

Vanishing viscosity limit for viscous Burgers-Vlasov equations

论文作者

Cao, Wentao, Wang, Teng

论文摘要

我们通过使用补偿的紧凑性技术以及水平设定的参数的演变来建立一个粘性动力学模型的粘性汉堡 - Vlasov方程的消失粘度极限。我们获得的极限正是对无粘性方程的有限能弱解。

We establish the vanishing viscosity limit of viscous Burgers-Vlasov equations for one dimensional kinetic model about interactions between a viscous fluid and dispersed particles by using compensated compactness technique and the evolution of level sets arguments. The limit we obtained is exactly a finite-energy weak solution to the inviscid equations.

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