Regularization by Noise for the Point Vortex Model of mSQG Equations

doi:10.1007/s10114-020-9256-x

	Regularization by Noise for the Point Vortex Model of mSQG Equations
	Luo, De Jun 1,2; Saal, Martin 3
刊名	ACTA MATHEMATICA SINICA-ENGLISH SERIES
	2020-04-15
页码	15
关键词	Point vortices modified Surface Quasi-Geostrophic equations space-dependent noise absolute continuity
ISSN号	1439-8516
DOI	10.1007/s10114-020-9256-x
英文摘要	We consider the point vortex model associated to the modified Surface Quasi-Geostrophic (mSQG) equations on the two dimensional torus. It is known that this model is well posed for almost every initial conditions. We show that, when the system is perturbed by a certain space-dependent noise, it admits a unique global solution for any initial configuration. We also present an explicit example for the deterministic system on the plane where three different point vortices collapse.
资助项目	National Natural Science Foundation of China[11571347] ; National Natural Science Foundation of China[11688101] ; Youth Innovation Promotion Association, CAS[2017003]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000526189800001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51112]
专题	中国科学院数学与系统科学研究院
通讯作者	Luo, De Jun
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab RCSDS, Beijing 100190, Peoples R China 3.Tech Univ Darmstadt, Dept Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany
推荐引用方式 GB/T 7714	Luo, De Jun,Saal, Martin. Regularization by Noise for the Point Vortex Model of mSQG Equations[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2020:15.
APA	Luo, De Jun,&Saal, Martin.(2020).Regularization by Noise for the Point Vortex Model of mSQG Equations.ACTA MATHEMATICA SINICA-ENGLISH SERIES,15.
MLA	Luo, De Jun,et al."Regularization by Noise for the Point Vortex Model of mSQG Equations".ACTA MATHEMATICA SINICA-ENGLISH SERIES (2020):15.