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Problems Involving Change of Type

Proceedings of a Conference Held at the University of Stuttgart, FRG, October 11–14, 1988

  • Conference proceedings
  • © 1990

Overview

Editors:
  1. K. Kirchgässner
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Part of the book series: Lecture Notes in Physics (LNP, volume 359)

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Table of contents (16 papers)

  1. Front Matter

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  2. Dynamics and minimizing sequences

    • J. M. Ball
    Pages 3-16

  3. Discontinuous solutions of bounded variations to problems of the calculus of variations and of quasi linear hyperbolic differential equations. Integrals of Serrin and Weierstrass.

    • Lamberto Cesari
    Pages 17-30

  4. Minimizing sequences for nonconvex functionals, phase transitions and singular perturbations

    • Stefan Müller
    Pages 31-44

  5. Dynamics of cluster growth

    • J. Carr
    Pages 47-52

  6. A geometric approach to the dynamics of u t = ε2 u ξξ + f(u) for small ε

    • G. Fusco
    Pages 53-73

  7. On the isothermal motion of a phase interface

    • Morton E. Gurtin
    Pages 74-81

  8. The relaxed invariance principle and weakly dissipative infinite dimensional dynamical systems

    • M. Slemrod
    Pages 82-95

  9. Mathematical problems associated with the elasticity of liquids

    • D. D. Joseph
    Pages 99-111

  10. Analysis of spurt phenomena for a non-newtonian fluid

    • David S. Malkus, John A. Nohel, Bradley J. Plohr
    Pages 112-132

  11. Boundary conditions for steady flows of viscoelastic fluids

    • Michael Renardy
    Pages 133-138

  12. The use of vectorfield dynamics in formulating admissibility conditions for shocks in conservation laws that change type

    • Barbara Lee Keyfitz
    Pages 141-150

  13. On the Cauchy problem for the Davey-Stewartson system

    • Jean-Claude Saut
    Pages 151-158

  14. Inverse scattering and factorization theory

    • D. H. Sattinger
    Pages 159-171

  15. Recent results on the Cauchy problem and initial traces for degenerate parabolic equations

    • E. DiBenedetto
    Pages 175-190

  16. A nonlinear eigenvalue problem involving free boundaries

    • L. A. Peletier
    Pages 191-196

  17. Two nonlinear diffusion equations with finite speed of propagation

    • Juan Luis Vazquez
    Pages 197-206

  18. Back Matter

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Keywords

About this book

Spontaneous change of type is a widely observed phenomenon in physics. In this volume, leading experts survey from a mathematical point of view topics such as phase transitions in crystals, cluster dynamics, viscoelastic flows, motion of interfaces in thermodynamics, shocks in transonic flows, and nonlinear diffusion with finite speed of propagation. Owing to new mathematical techniques, there is now a renewed interest in these difficult questions. The present volume supplies new results but may also serve as an excellent introduction to recent literature. It will be of interest to researchers and to graduate students in physics and mathematics.

Bibliographic Information

  • Book Title: Problems Involving Change of Type

  • Book Subtitle: Proceedings of a Conference Held at the University of Stuttgart, FRG, October 11–14, 1988

  • Editors: K. Kirchgässner

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/3-540-52595-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Softcover ISBN: 978-3-662-13789-5Published: 23 August 2014

  • eBook ISBN: 978-3-540-47049-6Published: 30 June 2005

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: XII, 210

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Mathematical Methods in Physics, Numerical and Computational Physics, Simulation, Acoustics

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