1.

Record Nr.

UNISA996466482303316

Autore

Saint-Raymond Laure

Titolo

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

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009

ISBN

3-540-92847-2

Edizione

[1st ed. 2009.]

Descrizione fisica

1 online resource (XII, 194 p. 9 illus.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 1971

Classificazione

MAT 352f

PHY 058f

PHY 220f

SI 850

Disciplina

532.5

Soggetti

Continuum physics

Partial differential equations

StatisticsĀ 

Classical and Continuum Physics

Partial Differential Equations

Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references (p. 181-186) and index.

Nota di contenuto

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.

Sommario/riassunto

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.