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Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity

文献类型：期刊论文

作者Liang, Siyu1,2,4; Zhang, Ping1,2; Zhu, Rongchan3,4
刊名JOURNAL OF DIFFERENTIAL EQUATIONS
出版日期2021-02-25
卷号275页码:473-508
ISSN号0022-0396
DOI10.1016/j.jde.2020.11.028
英文摘要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.
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
语种英语
WOS记录号WOS:000602880100017
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/57894]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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