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Systems of Nonlinear Partial Differential Equations

  • Book
  • © 1983

Overview

Editors:
  1. J. M. Ball

    1. Department of Mathematics, Heriot-Watt University, Edinburgh, UK

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

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Table of contents (31 chapters)

  1. Front Matter

    Pages i-ix
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  2. Expository Lectures

    1. Front Matter

      Pages 1-1
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    2. Algebraic and Topological Invariants for Reaction-Diffusion Equations

      • Charles C. Conley, Joel A. Smoller
      Pages 3-24

    3. Hyperbolic Systems of Conservation Laws

      • C. M. Dafermos
      Pages 25-70

    4. Ill-Posed Problems in Thermoelasticity Theory

      • J. L. Ericksen
      Pages 71-79

    5. Ill-Posed Problems in Thermoelasticity Theory

      • J. L. Ericksen
      Pages 80-86

    6. Ill-Posed Problems in Thermoelasticity Theory

      • J. L. Ericksen
      Pages 87-93

    7. Nonlinear Systems in Optimal Control Theory and Related Topics

      • Lawrence C. Evans
      Pages 95-113

    8. The Regularity Problem of Extremals of Variational Integrals

      • Mariano Giaquinta
      Pages 115-145

    9. Some Aspects of the Regularity Theory for Nonlinear Elliptic Systems

      • Enrico Giusti
      Pages 147-172

    10. Quasilinear Elliptic Systems in Diagonal Form

      • S. Hildebrandt
      Pages 173-217

    11. Topics in Bifurcation Theory

      • David G. Schaeffer
      Pages 219-231

    12. Topics in Bifurcation Theory

      • David G. Schaeffer
      Pages 232-244

    13. Topics in Bifurcation Theory

      • David G. Schaeffer
      Pages 245-262

    14. The Compensated Compactness Method Applied to Systems of Conservation Laws

      • Luc Tartar
      Pages 263-285

  3. Special Sessions

    1. Front Matter

      Pages 287-287
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    2. Problems in Nonlinear Elasticity

      1. Coercivity Conditions in Nonlinear Elasticity
        • Stuart S. Antman
        Pages 289-297
      2. Constitutive Inequalities and Dynamic Stability in the Linear Theories of Elasticity, Thermoelasticity and Viscoelasticity
        • Louis Brun, Michel Potier-Ferry
        Pages 299-304
      3. Generalized Solutions to Conservation Laws
        • Ronald J. DiPerna
        Pages 305-309
      4. Stability of the Elastica
        • J. H. Maddocks
        Pages 311-322
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Keywords

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.

Reviews

`The volume is highly recommended to research mathematicians in partial differential equations and to mechanicians for the nice selection of applications.' Siam, 27 (1985)

Editors and Affiliations

  • Department of Mathematics, Heriot-Watt University, Edinburgh, UK

    J. M. Ball

Bibliographic Information

  • Book Title: Systems of Nonlinear Partial Differential Equations

  • Editors: J. M. Ball

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-009-7189-9

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1983

  • Hardcover ISBN: 978-90-277-1629-3Published: 31 July 1983

  • Softcover ISBN: 978-94-009-7191-2Published: 15 October 2011

  • eBook ISBN: 978-94-009-7189-9Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: X, 481

  • Topics: Partial Differential Equations

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