Vanishing viscosity limit for viscous Burgers-Vlasov equations
arXiv:2006.04502
Abstract
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.
To appear in Communications in Mathematical Sciences