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Seminar on Nonlinear Partial Differential Equations

  • Conference proceedings
  • © 1984

Overview

Editors:
  1. S. S. Chern

    1. Department of Mathematics, University of California, Berkeley, USA

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Part of the book series: Mathematical Sciences Research Institute Publications (MSRI, volume 2)

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Table of contents (18 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Geometrical and Analytical Questions In Nonlinear Elasticity

    • Stuart S. Antman
    Pages 1-30

  3. An Introduction to Euler’S Equations for an Incompressible Fluid

    • Alexandre J. Chorin
    Pages 31-36

  4. Linearizing Flows and a Cohomology Interpretation of Lax Equations

    • S. S. Chern
    Pages 37-46

  5. The Ricci Curvature Equation

    • Richard Hamilton
    Pages 47-72

  6. A Walk Through Partial Differential Equations

    • Fritz John
    Pages 73-84

  7. Remarks on Zero Viscosity Limit for Nonstationary Navier- Stokes Flows with Boundary

    • Tosio Kato
    Pages 85-98

  8. Free Boundary Problems in Mechanics

    • Joseph B. Keller
    Pages 99-115

  9. The Method of Partial Regularity as Applied to the Navier-Stokes Equations

    • Robert V. Kohn
    Pages 117-128

  10. Shock Waves, Increase of Entropy and Loss of Information

    • Peter D. Lax
    Pages 129-171

  11. Stress and Riemannian Metrics in Nonlinear Elasticity

    • Jerrold E. Marsden
    Pages 173-184

  12. The Cauchy Problem and Propagation of Singularities

    • Richard Melrose
    Pages 185-201

  13. Analytical Theories of Vortex Motion

    • John Neu
    Pages 203-235

  14. The Minimal Surface Equation

    • R. Osserman
    Pages 237-259

  15. A Survey of Removable Singularities

    • John C. Polking
    Pages 261-292

  16. Applications of the Maximum Principle

    • M. H. Protter
    Pages 293-306

  17. Minimax Methods and Their Application to Partial Differential Equations

    • Paul H. Rabinowitz
    Pages 307-320

  18. Analytic Aspects of the Harmonic Map Problem

    • Richard M. Schoen
    Pages 321-358

  19. Equations of Plasma Physics

    • Alan Weinstein
    Pages 359-373
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Keywords

About this book

When the Mathematical Sciences Research Institute was started in the Fall of 1982, one of the programs was "non-linear partial differential equations". A seminar was organized whose audience consisted of graduate students of the University and mature mathematicians who are not experts in the field. This volume contains 18 of these lectures. An effort is made to have an adequate Bibliography for further information. The Editor wishes to take this opportunity to thank all the speakers and the authors of the articles presented in this volume for their cooperation. S. S. Chern, Editor Table of Contents Geometrical and Analytical Questions Stuart S. Antman 1 in Nonlinear Elasticity An Introduction to Euler's Equations Alexandre J. Chorin 31 for an Incompressible Fluid Linearizing Flows and a Cohomology Phillip Griffiths 37 Interpretation of Lax Equations The Ricci Curvature Equation Richard Hamilton 47 A Walk Through Partial Differential Fritz John 73 Equations Remarks on Zero Viscosity Limit for Tosio Kato 85 Nonstationary Navier-Stokes Flows with Boundary Free Boundary Problems in Mechanics Joseph B. Keller 99 The Method of Partial Regularity as Robert V.

Editors and Affiliations

  • Department of Mathematics, University of California, Berkeley, USA

    S. S. Chern

Bibliographic Information

  • Book Title: Seminar on Nonlinear Partial Differential Equations

  • Editors: S. S. Chern

  • Series Title: Mathematical Sciences Research Institute Publications

  • DOI: https://doi.org/10.1007/978-1-4612-1110-5

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1984

  • Hardcover ISBN: 978-0-387-96079-1Published: 22 October 1984

  • Softcover ISBN: 978-1-4612-7013-3Published: 06 October 2012

  • eBook ISBN: 978-1-4612-1110-5Published: 06 December 2012

  • Series ISSN: 0940-4740

  • Edition Number: 1

  • Number of Pages: VIII, 373

  • Topics: Analysis

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