WIAS Preprint No. 1335, (2008)

Global weak solutions of the Navier--Stokes--Vlasov--Poisson system



Authors

  • Anoschenko, Olga
  • Khruslov, Evgeni
  • Stephan, Holger

2010 Mathematics Subject Classification

  • 76D05 35J05 76T20

2008 Physics and Astronomy Classification Scheme

  • 82.70.Kj 52.65.Ff

Keywords

  • Navier-Stokes equation, Vlasov-Poisson equation, suspensions, global weak solution, modified Galerkin method, compactness of approximations

Abstract

We consider the Navier-Stokes-Vlasov-Poisson system of partial differential equations, describing the motion of a viscous incompressible fluid with small solid charged particles therein. We prove the existence of a weak global solution of the initial boundary value problem for this system.

Appeared in

  • J. Mathematical Physics Analysis Geometry (MAG), 6 (2010) pp. 143--182.

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