New Perspectives in Thermodynamics

  • James Serrin
Conference proceedings

DOI: 10.1007/978-3-642-70803-9

Table of contents (13 papers)

  1. Front Matter
    Pages I-XVI
  2. Foundations of Thermodynamics

    1. Front Matter
      Pages 1-1
    2. Foundations of Continuum Thermodynamics
      M. Šilhavý
      Pages 33-48
    3. Foundations of the Clausius-Duhem Inequality
      M. Feinberg, R. Lavine
      Pages 49-64
    4. Recent Research on the Foundations of Thermodynamics
      B. D. Coleman, D. R. Owen
      Pages 65-77
  3. The Thermodynamics of Gibbs and Carathéodory

  4. Special Material Systems

    1. Front Matter
      Pages 169-169
    2. Thermodynamics and the Constitutive Relations for Second Sound in Crystals
      B. D. Coleman, M. Fabrizio, D. R. Owen
      Pages 171-185
    3. Dynamic Changes of Phase in a van der Waals Fluid
      R. Hagan, J. Serrin
      Pages 241-260

About these proceedings


The material included in this book was first presented in a series of lectures de­ livered at the University of Minnesota in June 1983 in connection with the con­ ference "Thermodynamics and Phase Transitions". This conference was one of the principal events in the first year of operation of the Institute for Mathematics and its Applications (lMA) at the University of Minnesota. The Institute was founded under the auspices of the National Science Foun­ dation of the United States and the University of Minnesota and is devoted to strengthening and fostering the relation of mathematics with its various applica­ tions to problems of the real world. The present volume constitutes an important element in the continuing pub­ lication program of the Ipstitute. Previous publications in this program have ap­ peared as lecture notes in the well-known Springer series, and future ones will be part of a new series "IMA Volumes in Applied Mathematics". Preface Until recently it was believed that thermodynamics could be given a rigorous foundation only in certain restricted circumstances, particularly those involving reversible and quasi-static processes. More general situations, commonly arising in continuum theories, have therefore been treated on the assumption that inter­ nal energy, entropy and absolute temperature are a priori given quantities, or have been dealt with on a more or less ad hoc basis, with emphasis for example on various types of variational formulations and maximization rules.


applied mathematics crystal dynamics element energy entropy geometry heat mathematics mechanics stability statics structure temperature thermodynamics

Editors and affiliations

  • James Serrin
    • 1
  1. 1.Department of MathematicsUniversity of MinnesotaMinneapolisUSA

Bibliographic information

  • Copyright Information Springer-Verlag Berlin Heidelberg 1986
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-15931-5
  • Online ISBN 978-3-642-70803-9