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SIAMMA
2010

The Navier-Stokes-Vlasov-Fokker-Planck System near Equilibrium

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The Navier-Stokes-Vlasov-Fokker-Planck System near Equilibrium
This paper is concerned with a system that couples the incompressible Navier-Stokes equations to the Vlasov-Fokker-Planck equation. Such a system arises in the modeling of sprays, where a dense phase interacts with a disperse phase. The coupling arises from the Stokes drag force exerted by a phase on the other. We study the global-in-time existence of classical solutions for data close to an equilibrium. We investigate further regularity properties of the solutions as well as their long time behavior. The proofs use energy estimates and the hypoelliptic structure of the system.
Thierry Goudon, Lingbing He, Ayman Moussa, Ping Zh
Added 21 May 2011
Updated 21 May 2011
Type Journal
Year 2010
Where SIAMMA
Authors Thierry Goudon, Lingbing He, Ayman Moussa, Ping Zhang
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