Read On Euler equation and statistical physics (Publications of the Scuola Normale Superiore)

On Euler equation and statistical physics (Publications of the Scuola Normale Superiore)

Pierre-Louis Lions

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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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with On Euler equation and statistical physics (Publications of the Scuola Normale Superiore). To get started finding On Euler equation and statistical physics (Publications of the Scuola Normale Superiore), you are right to find our website which has a comprehensive collection of manuals listed.
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Format: PDF, EPUB & Kindle Edition

Publisher: —

Release: 1999

ISBN: 8876423001

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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with On Euler equation and statistical physics (Publications of the Scuola Normale Superiore). To get started finding On Euler equation and statistical physics (Publications of the Scuola Normale Superiore), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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On Euler equation and statistical physics (Publications of the Scuola Normale Superiore)

On Euler equation and statistical physics (Publications of the Scuola Normale Superiore)

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