Proceedings of a conference which was held at the University of New Hampshire, June 2026, 1982, and was sponsored by the American Mathematical Society.

Includes bibliographical references.

Theoretical Problems and Numerical Results for Nonlinear Conservation Laws ; Quasilinear Hyperbolic Partial Differential Equations and the Mathematical Theory of Shock Waves ; Analytical solutions of the KelvinHelmholtz equations ; LargeTime Regularity of Viscous Surface Waves ; Shock waves and the Boltzmann equation ; Formation of singularities for nonlinear hyperbolic partial differential equations ; Conservation Laws ; Recent Results for Hyperbolic Conservation Laws ; On the smoothing of initial discontinuities and the development of singularities in solutions of certain quasilinear hyperbolic equations ; Nonstrictly hyperbolic systems of conservation laws: formation of singularities ; On the variable sign penalty approximation of the NavierStokes equation ; Initial Boundary Value Problems for the Equations of Motion of Compressible Viscous Fluids ; Convergence of Finite Difference Approximations to Nonlinear Parabolic Systems ; Linearized stability of extreme shock profiles for systems of conservation laws with viscosity ; On some "viscous" perturbations of quasilinear first order hyperbolic systems arising in biology ; Systems of Conservation Laws with Coinciding Shock and Rarefaction Curves ; Computational synergetics and mathematics innovation: waves and vortices ; Reaction and Diffusion in Carbon Combustion ; Bifurcation from collinear solutions to a reactiondiffusion system ; Traveling wave solutions to reactiondiffusion systems modeling combustion ; Stable equilibria with variable diffusion ; Diffusion and the predatorprey interaction: steady states with flux at the boundaries ; Asymptotic flame theory with complex chemistry ; Strongly nonlinear detonations ; Differential equations and convergence almost everywhere in strongly monotone semiflows ; Some ideas in the proof that the FitzHughNagumo pulse is stable ; Diffusion induced chaos ; Monotone and oscillatory equilibrium solutions of a problem arising in population genetics ; Some convectiondiffusion equations arising in population dynamics ; Finitedimensional attracting manifolds in reactiondiffusion equations ; Traveling wave solutions of multistable reactiondiffusion equations ; Creation and breaking of selfduality symmetry a modern aspect of calculus of variations ; On the Bifurcation Diagram for a Problem in Buoyancy Induced Flow ; Frequency Plateaus in a Chain of Weakly Coupled Oscillators ; A System of Nonlinear Partial Differential Equations Arising in the Optimal Control of Stochastic Systems with Switching Costs ; ^1 Stability of Travelling Waves with Applications to Convective Porous Media Flow ; A onevariable map analysis of bursting in the BelousovZhabotinskii reaction ; Stable and unstable states of nonlinear wave equations ; Equilibrium States of an Elastic Conductor in a Magnetic Field: A Paradigm of Bifurcation Theory James Glimm ; TaiPing Liu ; Claude Bardos ; J Thomas Beale ; Russel Caflisch and Basil Nicolaenko ; Kuo Shung Cheng ; Ronald J DiPerna ; J M Greenberg ; David Hoff ; Barbara L Keyfitz and Herbert C Kranzer ; Haroon Kheshgi and Mitchell Luskin ; Akitaka Matsumura and Takaaki Nishida ; T Nishida and J Smoller ; Robert L Pego ; Michel Rascle ; Blake Temple ; Norman J Zabusky ; Neal R Amundson ; David L Barrow and Peter W Bates ; Henri Berestycki Basil Nicolaenko and Bruno Scheurer ; Michel Chipot and Jack K Hale ; E D Conway ; Paul C Fife and Basil Nicolaenko ; Robert Gardner ; Morris W Hirsch ; Christopher K R T Jones ; James P Keener ; Henry L Kurland ; Masayasu Mimura ; Xavier Mora ; David Terman ; Mel S Berger ; Stuart P Hastings and Nicholas D Kazarinoff ; Nancy Kopell ; Suzanne M Lenhart and Stavros A Belbas ; Stanley Osher and James Ralston ; John Rinzel and William C Troy ; Walter A Strauss ; Peter Wolfe