Vanishing viscosity limit for viscous Burgers-Vlasov equations
Analysis of PDEs
2020-06-09 v1
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.
Keywords
Cite
@article{arxiv.2006.04502,
title = {Vanishing viscosity limit for viscous Burgers-Vlasov equations},
author = {Wentao Cao and Teng Wang},
journal= {arXiv preprint arXiv:2006.04502},
year = {2020}
}
Comments
To appear in Communications in Mathematical Sciences