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 | |
发表期刊 | JOURNAL OF DIFFERENTIAL EQUATIONS |
ISSN | 0022-0396 |
卷号 | 275页码:473-508 |
摘要 | 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 |
收录类别 | SCI |
语种 | 英语 |
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 ; NSFC[11922103] ; NSFC[11671035] ; DFG[CRC 1283] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000602880100017 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/57895 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Zhu, Rongchan |
作者单位 | 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 |
推荐引用方式 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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