A MAXIMUM-ENTROPY PRINCIPLE FOR 2-DIMENSIONAL PERFECT FLUID-DYNAMICS

被引：139

作者：

ROBERT, R

机构：

[1] Meylan, 38240, 21, Avenue Plaine Fleurie

来源：

JOURNAL OF STATISTICAL PHYSICS | 1991年 / 65卷 / 3-4期

关键词：

STATISTICAL MECHANICS OF 2-DIMENSIONAL EULER EQUATIONS; YOUNG MEASURES; KULLBACK ENTROPY; EQUILIBRIUM STATES; COHERENT STRUCTURES; TURBULENCE;

D O I：

10.1007/BF01053743

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use Kullback entropy for Young measures to define statistical equilibrium states for a two-dimensional incompressible flow of a perfect fluid. This approach is justified, as it gives a concentration property about the equilibrium state in the phase space. It might give a statistical understanding of the appearance of coherent structures in two-dimensional turbulence.

引用

收藏

页码：531 / 553

页数：23

相关论文

共 43 条

[1] STATIONARY MEASURES FOR THE PERIODIC EULER FLOW IN 2 DIMENSIONS [J].

ALBEVERIO, S ;

RIBEIRODEFARIA, M ;

HOEGHKROHN, R .

JOURNAL OF STATISTICAL PHYSICS, 1979, 20 (06) :585-595

[2] GLOBAL FLOWS WITH INVARIANT (GIBBS) MEASURES FOR EULER AND NAVIER-STOKES 2-DIMENSIONAL FLUIDS [J].

ALBEVERIO, S ;

CRUZEIRO, AB .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 129 (03) :431-444

[3]

[Anonymous], 1985, ENTROPY LARGE DEVIAT, DOI DOI 10.1007/978-1-4613-8533-2

[4] SUR LA GEOMETRIE DIFFERENTIELLE DES GROUPES DE LIE DE DIMENSION INFINIE ET SES APPLICATIONS A LHYDRODYNAMIQUE DES FLUIDES PARFAITS [J].

ARNOLD, V .

ANNALES DE L INSTITUT FOURIER, 1966, 16 (01) :319-&

[5]

BALDI P, 1988, ANN MAT PUR APPL, V4, P161

[6] EXISTENCE AND UNIQUENESS OF SOLUTION TO BIDIMENSIONAL EULER EQUATION [J].

BARDOS, C .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1972, 40 (03) :769-790

[7] EQUILIBRIUM STATES FOR A PLANE INCOMPRESSIBLE PERFECT FLUID [J].

BOLDRIGHINI, C ;

FRIGIO, S .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 72 (01) :55-76

[8] CONSEQUENCES OF AN EXTREMUM PRINCIPLE IN TURBULENCE [J].

CASTAING, B .

JOURNAL DE PHYSIQUE, 1989, 50 (02) :147-156

[9]

COTTET GH, 1987, THESIS U PARIS 6

[10] VORTEX WAVES - STATIONARY V STATES, INTERACTIONS, RECURRENCE, AND BREAKING [J].

DEEM, GS ;

ZABUSKY, NJ .

PHYSICAL REVIEW LETTERS, 1978, 40 (13) :859-862

← 1 2 3 4 5 →