Energy conditional measures and 2D turbulence

doi:10.1063/1.5099359

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	Energy conditional measures and 2D turbulence
	Flandoli, Franco 1; Luo, Dejun2,3
	2020
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	61 期号:1 页码:22
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.
DOI	10.1063/1.5099359
收录类别	SCI
语种	英语
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
WOS类目	Physics, Mathematical
WOS记录号	WOS:000518009800001
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50883
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.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab RCSDS, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, 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.