Entropy and energy.. a universal competition

Interaction of Mechanics and Mathematics Ingo M¨uller Wolf Weiss Entropy and Energy A Universal Competition With 76...

Author: Ingo Müller | Wolf Weiss

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Interaction of Mechanics and Mathematics

Ingo M¨uller Wolf Weiss

Entropy and Energy A Universal Competition With 76 Figures

IMM Advisory Board D. Colton (USA) · R. Knops (UK) · G. DelPiero (Italy) · Z. Mroz (Poland) · M. Slemrod (USA) · S. Seelecke (USA) · L. Truskinovsky (France) IMM is promoted under the auspices of ISIMM (International Society of Mechanics and Mathematics).

Authors Prof.Dr. Ingo M¨uller Institut f¨ur Verfahrenstechnik Technische Universit¨at Berlin Fasanenstraße 90 10623 Berlin Germany

Dr. Wolf Weiss Weierstraß-Institut f¨ur Angewandte Analysis und Stochastik Mohrenstr. 39 10117 Berlin Germany

ISSN 1860-6245 ISBN-10 ISBN-13

3-540-24281-3 Springer Berlin Heidelberg New York 978-3-540-24281-9 Springer Berlin Heidelberg New York

Library of Congress Control Number: 2005925545 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 other ways, 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-Verlag. Violations are liable to prosecution under German Copyright Law. Springer is a part of Springer Science+Business Media springeronline.com © Springer-Verlag Berlin Heidelberg 2005 Printed in Germany The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a speciﬁc statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: Data conversion by the authors. Final processing by PTP-Berlin Protago-TEX-Production GmbH, Germany Cover-Design: Erich Kirchner, Heidelberg Printed on acid-free paper 89/3141Yu - 5 4 3 2 1 0

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