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.

中文翻译：

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粘性 Burgers-Vlasov 方程的消失粘度极限

我们通过使用补偿紧凑性技术和水平集参数的演变，为粘性流体和分散颗粒之间相互作用的一维动力学模型建立了粘性 Burgers-Vlasov 方程的消失粘度极限。我们得到的极限正是无粘性方程的有限能量弱解。