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Nonlinear partial differential equations
About this Title
Joel A. Smoller, Editor
Publication: Contemporary Mathematics
Publication Year:
1983; Volume 17
ISBNs: 978-0-8218-5017-6 (print); 978-0-8218-7603-9 (online)
DOI: https://doi.org/10.1090/conm/017
MathSciNet review: 706079
Table of Contents
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Front/Back Matter
Articles
- James Glimm – Theoretical Problems and Numerical Results for Nonlinear Conservation Laws
- Tai-Ping Liu – Quasilinear Hyperbolic Partial Differential Equations and the Mathematical Theory of Shock Waves
- Claude Bardos – Analytical solutions of the Kelvin-Helmholtz equations [MR 706082]
- J. Thomas Beale – Large-Time Regularity of Viscous Surface Waves
- Russel Caflisch and Basil Nicolaenko – Shock waves and the Boltzmann equation [MR 706084]
- Kuo Shung Cheng – Formation of singularities for nonlinear hyperbolic partial differential equations [MR 706085]
- Ronald J. DiPerna – Conservation Laws
- J. M. Greenberg – Recent Results for Hyperbolic Conservation Laws
- David Hoff – On the smoothing of initial discontinuities and the development of singularities in solutions of certain quasilinear hyperbolic equations [MR 706088]
- Barbara L. Keyfitz and Herbert C. Kranzer – Nonstrictly hyperbolic systems of conservation laws: formation of singularities [MR 706089]
- Haroon Kheshgi and Mitchell Luskin – On the variable sign penalty approximation of the Navier-Stokes equation [MR 706090]
- Akitaka Matsumura and Takaaki Nishida – Initial Boundary Value Problems for the Equations of Motion of Compressible Viscous Fluids
- T. Nishida and J. Smoller – Convergence of Finite Difference Approximations to Nonlinear Parabolic Systems
- Robert L. Pego – Linearized stability of extreme shock profiles for systems of conservation laws with viscosity [MR 706093]
- Michel Rascle – On some “viscous” perturbations of quasilinear first order hyperbolic systems arising in biology [MR 706094]
- Blake Temple – Systems of Conservation Laws with Coinciding Shock and Rarefaction Curves
- Norman J. Zabusky – Computational synergetics and mathematics innovation: waves and vortices [MR 706096]
- Neal R. Amundson – Reaction and Diffusion in Carbon Combustion
- David L. Barrow and Peter W. Bates – Bifurcation from collinear solutions to a reaction-diffusion system [MR 706098]
- Henri Berestycki, Basil Nicolaenko and Bruno Scheurer – Traveling wave solutions to reaction-diffusion systems modeling combustion [MR 706099]
- Michel Chipot and Jack K. Hale – Stable equilibria with variable diffusion [MR 706100]
- E. D. Conway – Diffusion and the predator-prey interaction: steady states with flux at the boundaries [MR 706101]
- Paul C. Fife and Basil Nicolaenko – Asymptotic flame theory with complex chemistry [MR 706102]
- Robert Gardner – Strongly nonlinear detonations [MR 706103]
- Morris W. Hirsch – Differential equations and convergence almost everywhere in strongly monotone semiflows [MR 706104]
- Christopher K. R. T. Jones – Some ideas in the proof that the FitzHugh-Nagumo pulse is stable [MR 706105]
- James P. Keener – Diffusion induced chaos [MR 706106]
- Henry L. Kurland – Monotone and oscillatory equilibrium solutions of a problem arising in population genetics [MR 706107]
- Masayasu Mimura – Some convection-diffusion equations arising in population dynamics [MR 706108]
- Xavier Mora – Finite-dimensional attracting manifolds in reaction-diffusion equations [MR 706109]
- David Terman – Traveling wave solutions of multistable reaction-diffusion equations [MR 706110]
- Mel S. Berger – Creation and breaking of self-duality symmetry—a modern aspect of calculus of variations [MR 706111]
- Stuart P. Hastings and Nicholas D. Kazarinoff – On the Bifurcation Diagram for a Problem in Buoyancy Induced Flow
- Nancy Kopell – Frequency Plateaus in a Chain of Weakly Coupled Oscillators
- Suzanne M. Lenhart and Stavros A. Belbas – A System of Nonlinear Partial Differential Equations Arising in the Optimal Control of Stochastic Systems with Switching Costs
- Stanley Osher and James Ralston – $L^1$ Stability of Travelling Waves with Applications to Convective Porous Media Flow
- John Rinzel and William C. Troy – A one-variable map analysis of bursting in the Belousov-Zhabotinskiĭ reaction [MR 706116]
- Walter A. Strauss – Stable and unstable states of nonlinear wave equations [MR 706117]
- Peter Wolfe – Equilibrium States of an Elastic Conductor in a Magnetic Field: A Paradigm of Bifurcation Theory