The Navier-Stokes-alpha equation via forward-backward stochastic differential systems

doi:10.1080/17442508.2017.1307986

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	The Navier-Stokes-alpha equation via forward-backward stochastic differential systems
	Liu, Guoping 1,2,3
	2018
发表期刊	STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES
ISSN	1744-2508
卷号	90 期号:1 页码:1-28
摘要	We use forward-backward stochastic differential systems to study the solution of the Navier-Stokes-alpha equation in any dimension. For the two dimensional Navier-Stokes-alpha equation with space periodic boundary conditions, we derive a Feynman-Kac formula associated with the vorticity equation and prove the global existence and uniqueness of the solution in a Sobolev space. For the d dimensional (d >= 3) case, we prove the local existence and uniqueness of the solution in a Sobolev space.
关键词	Navier-Stokes-alpha equation vorticity equation forward-backward stochastic differential equations Feynman-Kac formula
DOI	10.1080/17442508.2017.1307986
语种	英语
资助项目	China Scholarship Council[201404910409]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Statistics & Probability
WOS记录号	WOS:000427281100001
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29852
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Guoping
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Univ Lisbon, Grp Fis Matemat, Lisbon, Portugal 3.Univ Lisbon, Dept Matemat, Inst Super Tecn, Lisbon, Portugal
推荐引用方式 GB/T 7714	Liu, Guoping. The Navier-Stokes-alpha equation via forward-backward stochastic differential systems[J]. STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES,2018,90(1):1-28.
APA	Liu, Guoping.(2018).The Navier-Stokes-alpha equation via forward-backward stochastic differential systems.STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES,90(1),1-28.
MLA	Liu, Guoping."The Navier-Stokes-alpha equation via forward-backward stochastic differential systems".STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES 90.1(2018):1-28.