A maximum-entropy principle for two-dimensional perfect fluid dynamics

Lecture Notes in Mathematics

2007 • 10,414 citations

Applications of lie groups to differential equations

1990 • 6,401 citations

Applications of Lie Groups to Differential Equations

1986 • 3,595 citations

Statistical hydrodynamics

1949 • 2,387 citations

Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits

1966 • 1,595 citations

Entropy, Large Deviations, and Statistical Mechanics

1985 • 1,125 citations

Two-dimensional turbulence

1980 • 1,083 citations

Statistical equilibrium states for two-dimensional flows

1991 • 490 citations

Statistical mechanics of Euler equations in two dimensions

1990 • 413 citations

On classical solutions of the two-dimensional non-stationary Euler equation

1967 • 376 citations

Statistical dynamics of two-dimensional flow

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Non-stationary flow of an ideal incompressible liquid

1963 • 313 citations

On some statistical properties of hydrodynamical and magneto-hydrodynamical fields

1952 • 262 citations

Vortex Waves: Stationary "<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>V</mml:mi></mml:math>States," Interactions, Recurrence, and Breaking

1978 • 255 citations

Grandes deviations et applications

1980 • 237 citations

Vortex Interactions

1979 • 236 citations

Statistical mechanics of two-dimensional vortices in a bounded container

1976 • 217 citations

On an a priori estimate in the theory of hydrodynamical stability

1966 • 191 citations

Laboratory simulation of Jupiter's Great Red Spot

1988 • 185 citations

Evolution and merger of isolated vortex structures

1982 • 181 citations

Vortex Waves: Stationary "<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>V</mml:mi></mml:math>States," Interactions, Recurrence, and Breaking.

1978 • 179 citations

Minimum enstrophy vortices

1984 • 157 citations

Existence et unicité de la solution de l'équation d'Euler en dimension deux

1972 • 155 citations

Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids

1990 • 141 citations

Dynamics and statistics of a system of vortices

1975 • 122 citations

Final equilibrium state of a two-dimensional shear layer

1991 • 102 citations

Experimental characterization of steady two-dimensional vortex couples

1988 • 101 citations

Generalized Surfaces in the Calculus of Variations. II

1942 • 88 citations

Generalized Surfaces in the Calculus of Variations

1942 • 74 citations

Statistical mechanics of vortices in an inviscid two-dimensional fluid

1982 • 61 citations

Stationary measures for the periodic Euler flow in two dimensions

1979 • 54 citations

Large deviations and stochastic homogenization

1988 • 52 citations

Conséquences d'un principe d'extremum en turbulence

1989 • 45 citations

Where do We go from Here?

1985 • 43 citations

On regular conditional probabilities

1959 • 35 citations

TURBULENCE AND VORTICES IN ROTATING FLUIDS

1989 • 31 citations

Equilibrium states for a plane incompressible perfect fluid

1980 • 25 citations

Les invariants du premier ordre de l'equation d'euler en dimension trois

1984 • 25 citations

Alcuni nuovi teoremi sulle funzioni armoniche a tre variabili

1900 • 14 citations

Simultaneous Ultrasonic and Line Reversal Temperature Determination in a Shock Tube

1967 • 13 citations

Maximal Entropy in Fluid and Plasma Turbulence: A Review

1985 • 7 citations

Analyse numérique des méthodes particulaires pour certains problèmes non linéaires

1987 • 4 citations

Deleted Work

1955 • 0 citations