Regularization by Noise for the Point Vortex Model of mSQG Equations

doi:10.1007/s10114-020-9256-x

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	Regularization by Noise for the Point Vortex Model of mSQG Equations
	Luo, De Jun 1,2; Saal, Martin 3
	2020-04-15
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
页码	15
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.
关键词	Point vortices modified Surface Quasi-Geostrophic equations space-dependent noise absolute continuity
DOI	10.1007/s10114-020-9256-x
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000526189800001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51113
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.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab RCSDS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, 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.