THE NAVIER-STOKES-VLASOV-FOKKER-PLANCK SYSTEM NEAR EQUILIBRIUM

doi:10.1137/090776755

CSpace > 数学所

	THE NAVIER-STOKES-VLASOV-FOKKER-PLANCK SYSTEM NEAR EQUILIBRIUM
	Goudon, Thierry 1; He, Lingbing 2; Moussa, Ayman 3; Zhang, Ping4
	2010
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	42 期号:5 页码:2177-2202
摘要	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 hypocoercive/hypoelliptic structure of the system.
关键词	fluid-particle flows hypocoercivity hypoelliptic operator
DOI	10.1137/090776755
语种	英语
资助项目	China Postdoctoral Science Foundation[20080430365] ; ANR[05923/05SEST2001-02] ; NSF of China[10525101] ; NSF of China[10421101] ; National 973 project ; Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000282291800013
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10578
专题	数学所
通讯作者	Goudon, Thierry
作者单位	1.INRIA Res Ctr Lille Nord Europe, Project Team SIMPAF, F-59658 Villeneuve Dascq, France 2.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 3.ENS Cachan, CMLA, PRES UniverSud, CNRS, F-94230 Cachan, France 4.CAS, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Goudon, Thierry,He, Lingbing,Moussa, Ayman,et al. THE NAVIER-STOKES-VLASOV-FOKKER-PLANCK SYSTEM NEAR EQUILIBRIUM[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2010,42(5):2177-2202.
APA	Goudon, Thierry,He, Lingbing,Moussa, Ayman,&Zhang, Ping.(2010).THE NAVIER-STOKES-VLASOV-FOKKER-PLANCK SYSTEM NEAR EQUILIBRIUM.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,42(5),2177-2202.
MLA	Goudon, Thierry,et al."THE NAVIER-STOKES-VLASOV-FOKKER-PLANCK SYSTEM NEAR EQUILIBRIUM".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 42.5(2010):2177-2202.