The Navier-Stokes-Vlasov-Fokker-Planck ...
Document type :
Article dans une revue scientifique: Article original
DOI :
Permalink :
Title :
The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium
Author(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]
Journal title :
SIAM Journal on Mathematical Analysis
Publisher :
Society for Industrial and Applied Mathematics
Publication date :
2010
ISSN :
0036-1410
HAL domain(s) :
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
Source :
Submission date :
2025-01-24T15:44:23Z
Files
- document
- Open access
- Access the document
- nsvp_12_March_09.pdf
- Open access
- Access the document