KMS Of Academy of mathematics and systems sciences, CAS
| Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity | |
| Liang, Siyu1,2,4; Zhang, Ping1,2; Zhu, Rongchan3,4 | |
| 2021-02-25 | |
| Source Publication | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| ISSN | 0022-0396 |
| Volume | 275Pages:473-508 |
| Abstract | In this paper, we investigate both deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity. For the deterministic case, we prove the global well-posedness of the system with initial data in the anisotropic Sobolev space (H) over tilde (0,1). For the stochastic case, we obtain existence of the martingale solutions and pathwise uniqueness of the solutions, which imply existence of the probabilistically strong solution to this system by the Yamada-Watanabe Theorem. (C) 2020 Elsevier Inc. All rights reserved. |
| DOI | 10.1016/j.jde.2020.11.028 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NSF of China[11371347] ; NSF of China[11688101] ; National Center for Mathematics and Interdisciplinary Sciences of the Chinese Academy of Sciences ; NSFC[11922103] ; NSFC[11671035] ; DFG[CRC 1283] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000602880100017 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/57895 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhu, Rongchan |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 4.Univ Bielefeld, Dept Math, D-33615 Bielefeld, Germany |
| Recommended Citation GB/T 7714 | Liang, Siyu,Zhang, Ping,Zhu, Rongchan. Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2021,275:473-508. |
| APA | Liang, Siyu,Zhang, Ping,&Zhu, Rongchan.(2021).Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity.JOURNAL OF DIFFERENTIAL EQUATIONS,275,473-508. |
| MLA | Liang, Siyu,et al."Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity".JOURNAL OF DIFFERENTIAL EQUATIONS 275(2021):473-508. |
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