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

2008, Anoschenko, Olga, Khruslov, Evgeni, Stephan, Holger

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.