Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system
文献类型：期刊论文
| 作者 | Zhang, Ping1,2,3 |
| 刊名 | ADVANCES IN MATHEMATICS
 |
| 出版日期 | 2020-03-25 |
| 卷号 | 363页码:43 |
| 关键词 | Inhomogeneous Navier-Stokes system Besov space Weak solutions |
| ISSN号 | 0001-8708 |
| DOI | 10.1016/j.aim.2020.107007 |
| 英文摘要 | In this paper, we shall prove the global existence of weak solutions to 3D inhomogeneous incompressible Navier-Stokes system (INS) with initial density in the bounded function space and having a positive lower bound and with initial velocity being sufficiently small in the critical Besov space, <(B)over dot>(1/2)(2,1). This result corresponds to the Fujita-Kato solutions of the classical Navier-Stokes system. The same idea can be used to prove the global existence of weak solutions in the critical functional framework to (INS) with one component of the initial velocity being large and can also be applied to provide a lower bound for the lifespan of smooth enough solutions of (INS). (C) 2020 Elsevier Inc. All rights reserved. |
| 资助项目 | NSF of China[11371347] ; NSF of China[11688101] ; National Center for Mathematics and Interdisciplinary Sciences of The Chinese Academy of Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000514475900019 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50828]  |
| 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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Ping. Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system[J]. ADVANCES IN MATHEMATICS,2020,363:43. |
| APA | Zhang, Ping.(2020).Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system.ADVANCES IN MATHEMATICS,363,43. |
| MLA | Zhang, Ping."Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system".ADVANCES IN MATHEMATICS 363(2020):43. |
入库方式： OAI收割
来源：数学与系统科学研究院
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