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arXiv · 1204.6540

Global weak solutions to the Navier-Stokes-Vlasov equations

Cheng Yu
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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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Cheng Yu. 2012-11-27. Global weak solutions to the Navier-Stokes-Vlasov equations. https://arxiv.org/abs/1204.6540

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