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Record Nr. |
UNINA9910483276903321 |
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Autore |
Saint-Raymond Laure |
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Titolo |
Hydrodynamic limits of the Boltzmann equation / / Laure Saint-Raymond |
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Pubbl/distr/stampa |
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Berlin, : Springer, c2009 |
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ISBN |
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Edizione |
[1st ed. 2009.] |
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Descrizione fisica |
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1 online resource (XII, 194 p. 9 illus.) |
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Collana |
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Lecture notes in mathematics, , 0075-8434 ; ; 1971 |
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Classificazione |
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MAT 352f |
PHY 058f |
PHY 220f |
SI 850 |
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Disciplina |
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Soggetti |
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Maxwell-Boltzmann distribution law |
Fluid dynamics - Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references (p. 181-186) and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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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