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.
General
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