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Analysis and Continuum Mechanics

A Collection of Papers Dedicated to J. Serrin on His Sixtieth Birthday

  • Book
  • © 1989

Overview

Authors:
  1. Stuart S. Antman

    1. Department of Mathematics, University of Maryland, College Park, USA

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  2. Haïm Brezis

    1. Analyse Numérique, Tour 55–65, 5e étage, Université Pierre et Marie Curie, Paris Cédex 05, France

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  3. Bernard D. Coleman

    1. Department of Mechanics & Material Science, Rutgers, The State University, New Brunswick, USA

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  4. Martin Feinberg

    1. Department of Chemical Engineering, University of Rochester, Rochester, USA

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  5. John A. Nohel

    1. Mathematics Research Center, University of Wisconsin, Madison, USA

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  6. William P. Ziemer

    1. Mathematics Department, Indiana University, Bloomington, USA

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Table of contents (39 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. Differentiability of the Blow-up Curve for one Dimensional Nonlinear Wave Equations

    • Luis A. Caffarelli, Avner Friedman
    Pages 1-16

  3. On the Existence of Positive Entire Solutions of a Semilinear Elliptic Equation

    • Wei-Yue Ding, Wei-Ming Ni
    Pages 17-42

  4. The Uniqueness of Hill’s Spherical Vortex

    • C. J. Amick, L. E. Fraenkel
    Pages 43-71

  5. Lyapunov Functions for Thermomechanics with Spatially Varying Boundary Temperatures

    • J. M. Ball, G. Knowles
    Pages 73-84

  6. A Semilinear Elliptic Problem which is not Selfadjoint

    • Patrizia Pucci
    Pages 85-105

  7. A Multiparameter Study of a Boundary Value Problem from Chemical Reactor Theory

    • Paul Fife, Hsiao Ling, Tong Zhang
    Pages 107-135

  8. Boundary Regularity for Quasiminima

    • William P. Ziemer
    Pages 137-148

  9. Positively Invariant Regions for a Problem in Phase Transitions

    • V. Roytburd, M. Slemrod
    Pages 149-167

  10. A Note on a Theorem of R. Duffin

    • Paul H. Rabinowitz
    Pages 169-180

  11. The Boundary Value Problems for Non-Linear Elliptic Equations and the Maximum Principle for Euler-Lagrange Equations

    • Ilya J. Bakelman
    Pages 181-210

  12. Qualitative Properties of Large Buckled States of Spherical Shells

    • Ke-Gang Shih, Stuart S. Antman
    Pages 211-238

  13. Stable Equilibrium Configurations of Elastic Crystals

    • J. L. Ericksen
    Pages 239-252

  14. Inequalities between Dirichlet and Neumann Eigenvalues

    • Howard A. Levine, Hans F. Weinberger
    Pages 253-268

  15. Embeddings of Anisotropic Sobolev Spaces

    • D. E. Edmunds, R. M. Edmunds
    Pages 269-276

  16. Monotonic Decreasing and Asymptotic Behavior of the Kinetic Energy for Weak Solutions of the Navier-Stokes Equations in Exterior Domains

    • Giovanni P. Galdi, Paolo Maremonti
    Pages 277-290

  17. Quasilinear Hyperbolic Systems with Involutions

    • Constantine M. Dafermos
    Pages 291-307

  18. A generalized Norton-Hoff Model and the Prandtl-Reuss Law of Plasticity

    • Roger Temam
    Pages 309-355

  19. Symmetry and the Bifurcation of Capillary-Gravity Waves

    • Mark Jones, John Toland
    Pages 357-381

  20. Smoothness of Linear Laminates

    • Michel Chipot, David Kinderlehrer, Giorgio Vergara Caffarelli
    Pages 383-398
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Keywords

About this book

The 39 papers in this collection are devoted mostly to the exact mathematical analysis of problems in continuum mechanics, but also to problems of a purely mathematical nature mainly connected to partial differential equations from continuum physics. All the papers are dedicated to J. Serrin and were originally published in the "Archive of Rational Mechanics and Analysis".

Authors and Affiliations

  • Department of Mathematics, University of Maryland, College Park, USA

    Stuart S. Antman

  • Analyse Numérique, Tour 55–65, 5e étage, Université Pierre et Marie Curie, Paris Cédex 05, France

    Haïm Brezis

  • Department of Mechanics & Material Science, Rutgers, The State University, New Brunswick, USA

    Bernard D. Coleman

  • Department of Chemical Engineering, University of Rochester, Rochester, USA

    Martin Feinberg

  • Mathematics Research Center, University of Wisconsin, Madison, USA

    John A. Nohel

  • Mathematics Department, Indiana University, Bloomington, USA

    William P. Ziemer

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