Global weak solutions to the Navier-Stokes-Vlasov equations
Analysis of PDEs
2012-11-28 v2
Abstract
In this paper, the system of particles coupled with fluid is considered. The particles are described by a Vlasov equation, and the fluid is governed by a forced Navier-Stokes equations. The interaction with fluid phase governed by Navier-Stokes equations is taken into account through a source term. The resulting system, namely Navier-Stokes-Vlasov equations, is shown to have global weak solutions in three spatial dimensions, and to have a unique global solution in two spatial dimensions.
Keywords
Cite
@article{arxiv.1204.6540,
title = {Global weak solutions to the Navier-Stokes-Vlasov equations},
author = {Cheng Yu},
journal= {arXiv preprint arXiv:1204.6540},
year = {2012}
}
Comments
Revised version, accepted by Journal de Math\'ematiques Pures et Appliqu\'ees