Regularization by Noise for the Point Vortex Model of mSQG Equations
Luo, De Jun1,2; Saal, Martin3
AbstractWe 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.
KeywordPoint vortices modified Surface Quasi-Geostrophic equations space-dependent noise absolute continuity
Indexed BySCI
Funding ProjectNational Natural Science Foundation of China[11571347] ; National Natural Science Foundation of China[11688101] ; Youth Innovation Promotion Association, CAS[2017003]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000526189800001
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Document Type期刊论文
Corresponding AuthorLuo, De Jun
Affiliation1.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
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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.
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