Treffer: Invariant Gibbs measures of the energy for shell models of turbulence: the inviscid and viscous cases
Title:
Invariant Gibbs measures of the energy for shell models of turbulence: the inviscid and viscous cases
Authors:
Source:
Nonlinearity (Bristol. Print). 25(4):1075-1097
Publisher Information:
Bristol: Institute of Physics, 2012.
Publication Year:
2012
Physical Description:
print, 33 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Mesure et intégration, Measure and integration, Analyse fonctionnelle, Functional analysis, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Analyse non linéaire, Nonlinear analysis, análisis no lineal, Ecoulement stochastique, Stochastic flow, Flujo estocástico, Ecoulement visqueux, Viscous flow, Flujo viscoso, Energie, Energy, Energía, Mesure Gauss, Gaussian measure, Medida Gauss, Mesure Gibbs, Gibbs measure, Medida Gibbs, Mesure invariante, Invariant measure, Medida invariante, Modèle déterministe, Deterministic model, Modelo determinista, Modèle stochastique, Stochastic model, Modelo estocástico, Physique mathématique, Mathematical physics, Física matemática, Solution stationnaire, Steady state solution, Solución estacionaria, Turbulence, Turbulencia, 28C10, 28C20, 46T12, Existence globale, Flot stochastique
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
University of Wyoming, Department of Mathematics, Dept. 3036, 1000 East University Avenue, Laramie WY 82071, United States
Universita di Pavia, Dipartimento di Matematica, via Ferrata 1, 27100 Pavia, Italy
Universita di Pavia, Dipartimento di Matematica, via Ferrata 1, 27100 Pavia, Italy
ISSN:
0951-7715
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Theoretical physics
Theoretical physics
Accession Number:
edscal.25768308
Database:
PASCAL Archive
Weitere Informationen
Gaussian measures of Gibbsian type are associated with some shell model of turbulence; they are constructed by means of the energy, a conserved quantity for the 3D inviscid and unforced shell model. We prove the existence of a unique global flow for a stochastic viscous shell model with the property that these Gibbs measures are invariant for this flow. Moreover, we prove that the deterministic inviscid shell model has a stationary solution with respect to these measures.