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Nonlinear partial differential equations
Edited by:
Joel A Smoller
eBook ISBN:  9780821876039 
Product Code:  CONM/17.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
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Nonlinear partial differential equations
Edited by:
Joel A Smoller
eBook ISBN:  9780821876039 
Product Code:  CONM/17.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 17; 1983; 446 ppMSC: Primary 35

Table of Contents

Articles

James Glimm — Theoretical Problems and Numerical Results for Nonlinear Conservation Laws

TaiPing Liu — Quasilinear Hyperbolic Partial Differential Equations and the Mathematical Theory of Shock Waves

Claude Bardos — Analytical solutions of the KelvinHelmholtz equations [ MR 706082 ]

J. Thomas Beale — LargeTime 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 NavierStokes 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 reactiondiffusion system [ MR 706098 ]

Henri Berestycki, Basil Nicolaenko and Bruno Scheurer — Traveling wave solutions to reactiondiffusion systems modeling combustion [ MR 706099 ]

Michel Chipot and Jack K. Hale — Stable equilibria with variable diffusion [ MR 706100 ]

E. D. Conway — Diffusion and the predatorprey 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 FitzHughNagumo 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 convectiondiffusion equations arising in population dynamics [ MR 706108 ]

Xavier Mora — Finitedimensional attracting manifolds in reactiondiffusion equations [ MR 706109 ]

David Terman — Traveling wave solutions of multistable reactiondiffusion equations [ MR 706110 ]

Mel S. Berger — Creation and breaking of selfduality 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 onevariable map analysis of bursting in the BelousovZhabotinskiĭ 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


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Articles

James Glimm — Theoretical Problems and Numerical Results for Nonlinear Conservation Laws

TaiPing Liu — Quasilinear Hyperbolic Partial Differential Equations and the Mathematical Theory of Shock Waves

Claude Bardos — Analytical solutions of the KelvinHelmholtz equations [ MR 706082 ]

J. Thomas Beale — LargeTime 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 NavierStokes 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 reactiondiffusion system [ MR 706098 ]

Henri Berestycki, Basil Nicolaenko and Bruno Scheurer — Traveling wave solutions to reactiondiffusion systems modeling combustion [ MR 706099 ]

Michel Chipot and Jack K. Hale — Stable equilibria with variable diffusion [ MR 706100 ]

E. D. Conway — Diffusion and the predatorprey 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 FitzHughNagumo 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 convectiondiffusion equations arising in population dynamics [ MR 706108 ]

Xavier Mora — Finitedimensional attracting manifolds in reactiondiffusion equations [ MR 706109 ]

David Terman — Traveling wave solutions of multistable reactiondiffusion equations [ MR 706110 ]

Mel S. Berger — Creation and breaking of selfduality 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 onevariable map analysis of bursting in the BelousovZhabotinskiĭ 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
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