Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations

doi:10.1007/s00028-020-00592-z

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	Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations
	Flandoli, Franco 1; Galeati, Lucio 2; Luo, Dejun3,4
	2020-06-19
发表期刊	JOURNAL OF EVOLUTION EQUATIONS
ISSN	1424-3199
页码	34
摘要	We consider a family of stochastic 2D Euler equations in vorticity form on the torus, with transport-type noises and L-2-initial data. Under a suitable scaling of the noises, we show that the solutions converge weakly to that of the deterministic 2D Navier-Stokes equations. Consequently, we deduce that the weak solutions of the stochastic 2D Euler equations are approximately unique and "weakly quenched exponential mixing."
关键词	2D Euler equations Vorticity Transport noise Scaling limit 2D Navier-Stokes equations
DOI	10.1007/s00028-020-00592-z
收录类别	SCI
语种	英语
资助项目	Scuola Normale Superiore di Pisa ; 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:000541309100001
出版者	SPRINGER BASEL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51664
专题	应用数学研究所
通讯作者	Flandoli, Franco
作者单位	1.Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56124 Pisa, Italy 2.Univ Bonn, Inst Appl Math, Endenicher Allee 60, D-53115 Bonn, Germany 3.Chinese Acad Sci, Key Lab RCSDS, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Flandoli, Franco,Galeati, Lucio,Luo, Dejun. Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations[J]. JOURNAL OF EVOLUTION EQUATIONS,2020:34.
APA	Flandoli, Franco,Galeati, Lucio,&Luo, Dejun.(2020).Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations.JOURNAL OF EVOLUTION EQUATIONS,34.
MLA	Flandoli, Franco,et al."Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations".JOURNAL OF EVOLUTION EQUATIONS (2020):34.