
On Euler equation and statistical physics
Pierre-Louis Lions(Author)
Scuola Normale Superiore (Publisher)
Published on 1. October 1999
Book
Paperback/Softback
69 pages
978-88-7642-300-0 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Pisa
Switzerland
Publishing group
Birkhauser Verlag AG
Target group
Professional and scholarly
Research
Illustrations
69 p.
Dimensions
Height: 24 cm
Width: 17 cm
ISBN-13
978-88-7642-300-0 (9788876423000)
Schweitzer Classification