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Stochastic mSQG equations with multiplicative transport noises: White noise solutions and scaling limit

文献类型：期刊论文

作者Luo, Dejun2,3; Zhu, Rongchan1,4
刊名STOCHASTIC PROCESSES AND THEIR APPLICATIONS
出版日期2021-10-01
卷号140页码:236-286
关键词Modified Surface Quasi-Geostrophic equation Transport noise White noise solution Scaling limit Weak convergence
ISSN号0304-4149
DOI10.1016/j.spa.2021.06.013
英文摘要We consider the modified Surface Quasi-Geostrophic (mSQG) equation on the 2D torus T-2, perturbed by multiplicative transport noise. The equation admits the white noise measure on T-2 as the invariant measure. We first prove the existence of white noise solutions to the stochastic equation via the method of point vortex approximation, then, under a suitable scaling limit of the noise, we show that the solutions converge weakly to the unique stationary solution of the dissipative mSQG equation driven by spacetime white noise. The weak uniqueness of the latter equation is also proved by following Gubinelli and Perkowski's approach in Gubinelli and Perkowski (2020). (C) 2021 Elsevier B.V. All rights reserved.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000690365800009
出版者ELSEVIER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59165]  
专题应用数学研究所
通讯作者Zhu, Rongchan
作者单位1.Univ Bielefeld, Dept Math, D-33615 Bielefeld, Germany
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab RCSDS, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
4.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
推荐引用方式
GB/T 7714		 Luo, Dejun,Zhu, Rongchan. Stochastic mSQG equations with multiplicative transport noises: White noise solutions and scaling limit[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS,2021,140:236-286.
APA Luo, Dejun,&Zhu, Rongchan.(2021).Stochastic mSQG equations with multiplicative transport noises: White noise solutions and scaling limit.STOCHASTIC PROCESSES AND THEIR APPLICATIONS,140,236-286.
MLA Luo, Dejun,et al."Stochastic mSQG equations with multiplicative transport noises: White noise solutions and scaling limit".STOCHASTIC PROCESSES AND THEIR APPLICATIONS 140(2021):236-286.

入库方式： OAI收割

来源：数学与系统科学研究院

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