Stochastic Lagrangian flows on the group of volume-preserving homeomorphisms of the spheres

doi:10.1080/17442508.2014.995659

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	Stochastic Lagrangian flows on the group of volume-preserving homeomorphisms of the spheres
	Luo, Dejun
	2015
发表期刊	STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES
ISSN	1744-2508
卷号	87 期号:4 页码:680-701
摘要	We consider stochastic differential equations on the group of volume-preserving homeomorphisms of the sphere S-d (d >= 2). The diffusion part is given by the divergence-free eigenvector fields of the Laplacian acting on L-2-vector fields, while the drift is some other divergence-free vector field. We show that the equation generates a unique flow of measure-preserving homeomorphisms when the drift has first-order Sobolev regularity, and derive a formula for the distance between two Lagrangian flows. We also compute the rotation process of two particles on the sphere S-2 when they are close to each other.
关键词	Navier-Stokes equation Brownian motion group of volume-preserving homeomorphisms rotation process
DOI	10.1080/17442508.2014.995659
语种	英语
资助项目	Key Laboratory of RCSDS, CAS[2008DP173182] ; NSFC[11101407] ; NSFC[11371099] ; AMSS[Y129161ZZ1]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Statistics & Probability
WOS记录号	WOS:000360395400007
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/20652
专题	应用数学研究所
通讯作者	Luo, Dejun
作者单位	Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Luo, Dejun. Stochastic Lagrangian flows on the group of volume-preserving homeomorphisms of the spheres[J]. STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES,2015,87(4):680-701.
APA	Luo, Dejun.(2015).Stochastic Lagrangian flows on the group of volume-preserving homeomorphisms of the spheres.STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES,87(4),680-701.
MLA	Luo, Dejun."Stochastic Lagrangian flows on the group of volume-preserving homeomorphisms of the spheres".STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES 87.4(2015):680-701.