Systems of Nonlinear Partial Differential Equations

I Expository Lectures.- Algebraic and Topological Invariants for Reaction-Diffusion Equations.- Hyperbolic Systems of Conservation Laws.- Ill-Posed Problems in Thermoelasticity Theory Lecture 1 Twinning of Thermoelastic Materials.- Lecture 2 Problems for Infinite Elastic Prisms.- Lecture 3 St.-Venantr-s Problem for Elastic Prisms.- Nonlinear Systems in Optimal Control Theory and Related Topics.- The Regularity Problem of Extremals of Variational Integrals.- Some Aspects of the Regularity Theory for Nonlinear Elliptic Systems.- Quasilinear Elliptic Systems in Diagonal Form.- Topics in Bifurcation Theory Lecture 1 A Brief Introduction to Bifurcation Theory.- Lecture 2 Unfoldings.- Lecture 3 Symmetry in Bifurcation Theory.- The Compensated Compactness Method Applied to Systems of Conservation Laws.- II Special Sessions.- a. Problems in Nonlinear Elasticity, organized by S. S. Antman (University of Maryland).- Coercivity Conditions in Nonlinear Elasticity.- Constitutive Inequalities and Dynamic Stability in the Linear Theories of Elasticity, Thermoelasticity and Viscoelasticity.- Generalized Solutions to Conservation Laws.- Stability of the Elastica.- Group Theoretic Classification of Conservation Laws in Elasticity.- b. Applications of Bifurcation Theory to Mechanics, organized by J. E. Marsden (University of California, Berkeley).- Phase Transitions Via Bifurcation from Heteroclinic Orbits.- Bifurcation under Continuous Groups of Symmetries.- Morse Decompositions and Global Continuation of Periodic Solutions for Singularly Perturbed Delay Equations.- Bifurcation and Linearization Stability in the Traction Problem.- Singular Elliptic Eigenvalue Problems for Equations and Systems.- c. Nonelliptic Problems and Phase Transitions, organized by J. M. Ball (Heriot-Watt University).- Regularization of Non Elliptic Variational Problems.- Remarks on the Relaxation of Integrals of the Calculus of Variations.- A Diffusion Equation with a Nonmonovone Constitutive Function.- An Admissibility Criterion for Fluids Exhibiting Phase Transitions.- d. Dynamical Systems and Partial Differential Equations, organized by J. K. Hale (Brown University).- Stabilization of Solutions for a System with a Continuum of Equilibria and Distinct Diffusion Coefficients.- Relation between the Trapped Rays and the Distribution of the Eigenfrequencies of the Wave Equation in the Exterior of an Obstacle.- Stabilization Properties for Nonlinear Degenerate Parabolic Equations with Cut-Off Diffusivity.- Dynamics in Parabolic Equations - An Example.