• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail - No thumbnail

On Euler equations and statistical physics

Lions, Pierre-Louis (1997), On Euler equations and statistical physics, Scuola normale superiore : Pise, p. 69

Type
Ouvrage
Date
1997
Publisher
Scuola normale superiore
Published in
Pise
Pages
69
Metadata
Show full item record
Author(s)
Lions, Pierre-Louis
Abstract (EN)
These are a series of lectures given at the 1997 Cattedra Galileiana, at Scuola Normale Superiore. We discuss in these notes two mathematical topics related to Euler equations and turbulence. The general goal is to describe mathematically some coherent structures observed in turbulent flows. The first problem we study concerns 2-dimensional flows: we begin with a system of N points vortices interacting with the natural Coulomb-like force and we consider the associated Gibbs measure. We then show how the measure goes, as N goes to infinity, to a stationary measure which is concentrated on very particular stationary solutions of the two-dimensional Euler equations. We shall study the mathematical properties of these solutions. The second topic we consider is an extension of the previous one to 3-dimensional flows.
Subjects / Keywords
Statistical Physics; Fluid Mechanics; Turbulence; Physique statistique; Mécanique des fluides

Related items

Showing items related by title and author.

  • Thumbnail
    A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description 
    Caglioti, E.; Lions, Pierre-Louis; Marchioro, C.; Pulvirenti, M. (1992) Article accepté pour publication ou publié
  • Thumbnail
    On Hartree and Hartree-Fock equations in atomic and nuclear physics 
    Lions, Pierre-Louis (1989) Article accepté pour publication ou publié
  • Thumbnail
    Fully nonlinear stochastic partial differential equations: non-smooth equations and applications 
    Lions, Pierre-Louis; Souganidis, Panagiotis E. (1998) Article accepté pour publication ou publié
  • Thumbnail
    Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. III. Uniqueness of viscosity solutions for general second-order equations 
    Lions, Pierre-Louis (1989) Article accepté pour publication ou publié
  • Thumbnail
    The master equation and the convergence problem in mean field games 
    Cardaliaguet, Pierre; Delarue, François; Lasry, Jean-Michel; Lions, Pierre-Louis (2015-09) Document de travail / Working paper
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo