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

doi:10.1016/j.jde.2020.11.028

	Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity
	Liang, Siyu 2,3,4; Zhang, Ping 2,3; Zhu, Rongchan 1,4
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2021-02-25
卷号	275 页码:473-508
ISSN号	0022-0396
DOI	10.1016/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
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000602880100017
内容类型	期刊论文
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.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 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.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.