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Global weak solutions to the Navier-Stokes-Vlasov equations

Authors
  • Yu, Cheng
Type
Preprint
Publication Date
Nov 26, 2012
Submission Date
Apr 29, 2012
Identifiers
arXiv ID: 1204.6540
Source
arXiv
License
Yellow
External links

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.

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