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Equilibrium states for a plane incompressible perfect fluid

Journal Article:

Abstract

We associate to the plane incompressible Euler equation with periodic conditions the corresponding Hopf equation, as an equation for measures on the space of solenoidal distributions. We define equilibrium states as the solutions of the stationary Hopf equation. We find a class of equilibrium states which corresponds to a class of infinitely divisible distributions, and investigate the properties of gaussian and poissonian states. Equilibrium dynamics for a class of poissonian states is constructed by means of the Onsager vortex equations.
Authors:
Boldrighini, C; Frigio, S [1] 
  1. Camerino Univ. (Italy). Istituto di Matematica
Publication Date:
Jan 01, 1980
Product Type:
Journal Article
Reference Number:
AIX-11-542149; EDB-81-042166
Resource Relation:
Journal Name: Commun. Math. Phys.; (Germany, Federal Republic of); Journal Volume: 72:1
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; FLUID MECHANICS; MEASURE THEORY; BOUNDARY CONDITIONS; CONSERVATION LAWS; CONVEX MANIFOLDS; EQUILIBRIUM; ERGODIC HYPOTHESIS; FOURIER TRANSFORMATION; FUNCTIONALS; INCOMPRESSIBLE FLOW; ONSAGER RELATIONS; PHASE SPACE; TOPOLOGY; VORTICES; FLUID FLOW; FUNCTIONS; HYPOTHESIS; INTEGRAL TRANSFORMATIONS; MATHEMATICAL MANIFOLDS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; SPACE; TRANSFORMATIONS; 640410* - Fluid Physics- General Fluid Dynamics
OSTI ID:
6836010
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: CMPHA
Submitting Site:
INIS
Size:
Pages: 55-76
Announcement Date:
Aug 01, 1980

Journal Article:

Citation Formats

Boldrighini, C, and Frigio, S. Equilibrium states for a plane incompressible perfect fluid. Germany: N. p., 1980. Web.
Boldrighini, C, & Frigio, S. Equilibrium states for a plane incompressible perfect fluid. Germany.
Boldrighini, C, and Frigio, S. 1980. "Equilibrium states for a plane incompressible perfect fluid." Germany.
@misc{etde_6836010,
title = {Equilibrium states for a plane incompressible perfect fluid}
author = {Boldrighini, C, and Frigio, S}
abstractNote = {We associate to the plane incompressible Euler equation with periodic conditions the corresponding Hopf equation, as an equation for measures on the space of solenoidal distributions. We define equilibrium states as the solutions of the stationary Hopf equation. We find a class of equilibrium states which corresponds to a class of infinitely divisible distributions, and investigate the properties of gaussian and poissonian states. Equilibrium dynamics for a class of poissonian states is constructed by means of the Onsager vortex equations.}
journal = {Commun. Math. Phys.; (Germany, Federal Republic of)}
volume = {72:1}
journal type = {AC}
place = {Germany}
year = {1980}
month = {Jan}
}