Global existence of solutions for the coupled vlasov and navier-stokes equations

Laurent Boudin; Laurent Desvillettes; Céline Grandmont; Ayman Moussa

Journal ArticleOPEN ACCESS

Global existence of solutions for the coupled vlasov and navier-stokes equations

Boudin L
Desvillettes L
Grandmont C
et al.

Differential and Integral Equations (2009) 22(11-12) 1247-1271

DOI: 10.57262/die/1356019415

128Citations

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Abstract

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 the fluid and particles.

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Boudin, L., Desvillettes, L., Grandmont, C., & Moussa, A. (2009). Global existence of solutions for the coupled vlasov and navier-stokes equations. Differential and Integral Equations, 22(11–12), 1247–1271. https://doi.org/10.57262/die/1356019415

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Global existence of solutions for the coupled vlasov and navier-stokes equations

Abstract

References Powered by Scopus

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Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations

Global existence and large time behaviour of solutions for the Vlasov-Stokes equations

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