THE NAVIER-STOKES-VLASOV-FOKKER-PLANCK SYSTEM NEAR EQUILIBRIUM
文献类型：期刊论文
| 作者 | Goudon, Thierry1; He, Lingbing2; Moussa, Ayman3; Zhang, Ping4
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| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2010 |
| 卷号 | 42期号:5页码:2177-2202 |
| 关键词 | fluid-particle flows hypocoercivity hypoelliptic operator |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/090776755 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000282291800013 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10577]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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