Proceedings of a conference which was held at the University of New Hampshire, June 20-26, 1982, and was sponsored by the American Mathematical Society.

Includes bibliographical references.

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.