STATIONARY MEASURES FOR THE PERIODIC EULER FLOW IN 2 DIMENSIONS

被引：50

作者：

ALBEVERIO, S ^{[1
]}

RIBEIRODEFARIA, M ^{[1
]}

HOEGHKROHN, R ^{[1
]}

机构：

[1] UNIV AIX MARSEILLE 2,UER SCI LUMINY,MARSEILLE,FRANCE

来源：

JOURNAL OF STATISTICAL PHYSICS | 1979年 / 20卷 / 06期

关键词：

flow; periodic Euler; Stationary measures; two dimensions;

D O I：

10.1007/BF01009512

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct for the Euler flow in two dimensions with periodic boundary conditions the Gibbsian measures given by the energy and the enstrophy integrals. We show that they are inflnitesimally invariant under the Euler flow. © 1979 Plenum Publishing Corporation.

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页码：585 / 595

页数：11

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