Energy conditional measures and 2D turbulence

doi:10.1063/1.5099359

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	Energy conditional measures and 2D turbulence
	Flandoli, Franco 2; Luo, Dejun 1,3
刊名	JOURNAL OF MATHEMATICAL PHYSICS
	2020
卷号	61 期号:1 页码:22
ISSN号	0022-2488
DOI	10.1063/1.5099359
英文摘要	We show that the invariant measures of point vortices, when conditioning the Hamiltonian to a finite interval, converge weakly to the enstrophy measure by conditioning the renormalized energy to the same interval. We also prove the existence of solutions to 2D Euler equations having the energy conditional measure as an invariant measure. Some heuristic discussions and numerical simulations are presented in Sec. VI. Published under license by AIP Publishing.
资助项目	grant Stochastic models with spatial structure at the 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	Physics
语种	英语
出版者	AMER INST PHYSICS
WOS记录号	WOS:000518009800001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50882]
专题	应用数学研究所
通讯作者	Flandoli, Franco
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 2.Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56124 Pisa, Italy 3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab RCSDS, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Flandoli, Franco,Luo, Dejun. Energy conditional measures and 2D turbulence[J]. JOURNAL OF MATHEMATICAL PHYSICS,2020,61(1):22.
APA	Flandoli, Franco,&Luo, Dejun.(2020).Energy conditional measures and 2D turbulence.JOURNAL OF MATHEMATICAL PHYSICS,61(1),22.
MLA	Flandoli, Franco,et al."Energy conditional measures and 2D turbulence".JOURNAL OF MATHEMATICAL PHYSICS 61.1(2020):22.