Energy conditional measures and 2D turbulence

被引：4
作者：
Flandoli, Franco [1 ]
Luo, Dejun [2 ,3 ]
机构：
[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
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 01期
基金：
中国国家自然科学基金;
关键词：
2-DIMENSIONAL EULER EQUATIONS; WEAK VORTICITY-FORMULATION; STATISTICAL-MECHANICS; STATIONARY FLOWS;
D O I：
10.1063/1.5099359
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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.
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页数：22
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