Hydrodynamic Limits of the Boltzmann Equation [electronic resource] / by Laure Saint-Raymond.

By:

Saint-Raymond, Laure [author.]

Contributor(s):

SpringerLink (Online service)

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 1971Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009Description: XII, 194 p. 9 illus. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540928478

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

531 23

LOC classification:

QC6.4.C6

Online resources:

Click here to access online

Contents:

The Boltzmann equation and its formal hydrodynamic limits -- Mathematical tools for the derivation of hydrodynamic limits -- The incompressible Navier-Stokes limit -- The incompressible Euler limit -- The compressible Euler limit.

In: Springer eBooksSummary: The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics. Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy and entropy.

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The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics. Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy and entropy.

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