Global existence of solutions for the coupled Vlasov and Navier-Stokes equations

By L. Boudin, Laurent Desvillettes, Céline Grandmont, Ayman Moussa. Differential and Integral Equations, 2009

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In this work, we obtain a result of global existence for weak solutions of the three-dimensional incompressible Vlasov-Navier-Stokes equations, the coupling being done through a drag force which is linear with respect to the relative velocity of fluid and particles.

Subfields: Applied Mathematics, Computational Mechanics

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