The Navier-Stokes-Vlasov-Fokker-Planck ...
Type de document :
Article dans une revue scientifique: Article original
DOI :
Titre :
The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium
Auteur(s) :
Goudon, Thierry [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
He, Lingbing [Auteur]
Department of Mathematical Sciences
Ndoye, Moussa [Auteur]
Centre de Mathématiques et de Leurs Applications [CMLA]
Zhang, Ping [Auteur]
Academy of Mathematics and Systems Science [AMSS]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
He, Lingbing [Auteur]
Department of Mathematical Sciences
Ndoye, Moussa [Auteur]
Centre de Mathématiques et de Leurs Applications [CMLA]
Zhang, Ping [Auteur]
Academy of Mathematics and Systems Science [AMSS]
Titre de la revue :
SIAM Journal on Mathematical Analysis
Éditeur :
Society for Industrial and Applied Mathematics
Date de publication :
2010
ISSN :
0036-1410
Discipline(s) HAL :
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Résumé en anglais : [en]
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 ...
Lire la suite >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.Lire moins >
Lire la suite >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.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Internationale
Vulgarisation :
Non
Collections :
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