Discrete Velocity Models
In the classical description, a gas is made of atoms and molecules, but when MAXWELL and BOLTZMANN developed the basic ideas for the kinetic theory of gases, they imagined a gas made of particles with no internal structure. In celestial mechanics, all pla
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Luc Tartar
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From Hyperbolic Systems to Kinetic Theory A Personalized Quest
Lecture Notes of the Unione Matematica Italiana
6
Editorial Board
Franco Brezzi (Editor in Chief) Dipartimento di Matematica Universita di Pavia Via Ferrata I 27100 Pavia, Italy e-mail: [email protected] John M. Ball Mathematical Institute 24-29 St Giles’ Oxford OX1 3LB United Kingdom e-mail: [email protected] Alberto Bressan Department of Mathematics Penn State University University Park State College PA 16802, USA e-mail: [email protected] Fabrizio Catanese Mathematisches Institut Universitatstraße 30 95447 Bayreuth, Germany e-mail: [email protected] Carlo Cercignani Dipartimento di Matematica Politecnico di Milano Piazza Leonardo da Vinci 32 20133 Milano, Italy e-mail: [email protected] Corrado De Concini Dipartimento di Matematica Università di Roma “La Sapienza” Piazzale Aldo Moro 2 00133 Roma, Italy e-mail: [email protected]
Persi Diaconis Department of Statistics Stanford University Stanford, CA 94305-4065, USA e-mail: [email protected], [email protected] Nicola Fusco Dipartimento di Matematica e Applicazioni Università di Napoli “Federico II”, via Cintia Complesso Universitario di Monte S. Angelo 80126 Napoli, Italy e-mail: [email protected] Carlos E. Kenig Department of Mathematics University of Chicago 1118 E 58th Street, University Avenue Chicago IL 60637, USA e-mail: [email protected] Fulvio Ricci Scuola Normale Superiore di Pisa Plazza dei Cavalieri 7 56126 Pisa, Italy e-mail: [email protected] Gerard Van der Geer Korteweg-de Vries Instituut Universiteit van Amsterdam Plantage Muidergracht 24 1018 TV Amsterdam, The Netherlands e-mail: [email protected] Cédric Villani Ecole Normale Supérieure de Lyon 46, allée d’Italie 69364 Lyon Cedex 07 France e-mail: [email protected]
The Editorial Policy can be found at the back of the volume.
Luc Tartar
From Hyperbolic Systems to Kinetic Theory A Personalized Quest
ABC
Luc Tartar Department of Mathematical Sciences Carnegie Mellon University Pittsburgh, PA 15213-3890 USA [email protected]
ISBN 978-3-540-77561-4
e-ISBN 978-3-540-77562-1
DOI 10.1007/978-3-540-77562-1 Lecture Notes of the Unione Matematica Italiana ISSN print edition: 1862-9113 ISSN electronic edition: 1862-9121 Library of Congress Control Number: 2007942545 Mathematics Subject Classification (2000): 35K05, 35L45, 35L60, 35L65, 35L67, 35Q30, 70F45, 76A02, 76N15, 76P05, 82C22, 82C40 c 2008 Springer-Verlag Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations
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