Publications of the Scuola Normale Superiore

On Euler equation and statistical physics

Authors: Lions, Pierre-Louis

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About this book

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.

Buy this book

Softcover $24.95
price for USA
  • ISBN 978-88-7642-300-0
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.

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Bibliographic Information

Bibliographic Information
Book Title
On Euler equation and statistical physics
Authors
Series Title
Publications of the Scuola Normale Superiore
Copyright
1999
Publisher
Edizioni della Normale
Copyright Holder
Edizioni della Normale
Softcover ISBN
978-88-7642-300-0
Edition Number
1
Number of Pages
69
Topics