Systems of Nonlinear Partial Differential Equations

  • J. M. Ball

Part of the NATO Science Series C: (closed) book series (ASIC, volume 111)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Expository Lectures

    1. Front Matter
      Pages 1-1
    2. Charles C. Conley, Joel A. Smoller
      Pages 3-24
    3. C. M. Dafermos
      Pages 25-70
    4. S. Hildebrandt
      Pages 173-217
    5. David G. Schaeffer
      Pages 219-231
    6. David G. Schaeffer
      Pages 232-244
    7. David G. Schaeffer
      Pages 245-262
  3. Special Sessions

    1. Front Matter
      Pages 287-287
    2. Problems in Nonlinear Elasticity

    3. Applications of Bifurcation Theory of Mechanics

    4. Nonelliptic Problems and Phase Transition

    5. Dynamical Systems and Partial Differential Equations

  4. Back Matter
    Pages 473-481

About this book


This volume contains the proceedings of a NATO/London Mathematical Society Advanced Study Institute held in Oxford from 25 July - 7 August 1982. The institute concerned the theory and applications of systems of nonlinear partial differential equations, with emphasis on techniques appropriate to systems of more than one equation. Most of the lecturers and participants were analysts specializing in partial differential equations, but also present were a number of numerical analysts, workers in mechanics, and other applied mathematicians. The organizing committee for the institute was J.M. Ball (Heriot-Watt), T.B. Benjamin (Oxford), J. Carr (Heriot-Watt), C.M. Dafermos (Brown), S. Hildebrandt (Bonn) and J.S. pym (Sheffield) . The programme of the institute consisted of a number of courses of expository lectures, together with special sessions on different topics. It is a pleasure to thank all the lecturers for the care they took in the preparation of their talks, and S.S. Antman, A.J. Chorin, J.K. Hale and J.E. Marsden for the organization of their special sessions. The institute was made possible by financial support from NATO, the London Mathematical Society, the u.S. Army Research Office, the u.S. Army European Research Office, and the u.S. National Science Foundation. The lectures were held in the Mathematical Institute of the University of Oxford, and residential accommodation was provided at Hertford College.


differential equation dynamical systems nonlinear partial differential equation partial differential equation wave equation

Editors and affiliations

  • J. M. Ball
    • 1
  1. 1.Department of MathematicsHeriot-Watt UniversityEdinburghUK

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1983
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-009-7191-2
  • Online ISBN 978-94-009-7189-9
  • Series Print ISSN 1389-2185
  • Buy this book on publisher's site