HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium

Abstract : 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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [30 references]  Display  Hide  Download

Contributor : Thierry Goudon Connect in order to contact the contributor
Submitted on : Saturday, May 16, 2009 - 12:37:21 AM
Last modification on : Wednesday, March 23, 2022 - 3:50:57 PM
Long-term archiving on: : Thursday, June 10, 2010 - 11:12:12 PM


Files produced by the author(s)


  • HAL Id : inria-00384364, version 1


Thierry Goudon, Lingbing He, Ayman Moussa, Ping Zhang. The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium. 2009. ⟨inria-00384364⟩



Record views


Files downloads