Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density
文献类型：期刊论文
| 作者 | Farwig, Reinhard1; Qian, Chenyin5; Zhang, Ping2,3,4 |
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2020-03-15 |
| 卷号 | 278期号:5页码:36 |
| 关键词 | Incompressible inhomogeneous fluid Bounded domain Bounded density Existence and uniqueness |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2019.108394 |
| 英文摘要 | In this paper, we study the incompressible inhomogeneous Navier-Stokes equations in bounded domains of R-3 involving bounded density functions rho = 1 + a. Based on the corresponding theory of Besov spaces on domains, we first obtain the global existence of weak solutions (rho, u) with initial data a(0) is an element of L-infinity(Omega), u(0) is an element of B-q, s(-1+3/q) (Omega) for 1 < q < 3, 1 < s < infinity. Furthermore, with additional regularity assumptions on the initial velocity, we also prove the uniqueness of such a solution. It is a generalization of a result established by Huang et al. (2013) [20] for the whole space R-3. (C) 2019 Elsevier Inc. All rights reserved. |
| 资助项目 | NSF of China[11371347] ; NSF of China[11688101] ; Morningside Center of Mathematics of the Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000508760700006 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50564]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Ping |
| 作者单位 | 1.Tech Univ Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 5.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China |
| 推荐引用方式 GB/T 7714 | Farwig, Reinhard,Qian, Chenyin,Zhang, Ping. Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2020,278(5):36. |
| APA | Farwig, Reinhard,Qian, Chenyin,&Zhang, Ping.(2020).Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density.JOURNAL OF FUNCTIONAL ANALYSIS,278(5),36. |
| MLA | Farwig, Reinhard,et al."Incompressible inhomogeneous fluids in bounded domains of R-3 with bounded density".JOURNAL OF FUNCTIONAL ANALYSIS 278.5(2020):36. |
入库方式： OAI收割
来源：数学与系统科学研究院
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