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Nonlinear partial differential equations
Edited by:
Joel A Smoller
eBook ISBN: | 978-0-8218-7603-9 |
Product Code: | CONM/17.E |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |
Click above image for expanded view
Nonlinear partial differential equations
Edited by:
Joel A Smoller
eBook ISBN: | 978-0-8218-7603-9 |
Product Code: | CONM/17.E |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 17; 1983; 446 ppMSC: Primary 35
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Table of Contents
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Articles
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James Glimm — Theoretical Problems and Numerical Results for Nonlinear Conservation Laws
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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 ]
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Ronald J. DiPerna — Conservation Laws
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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
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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 ]
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Blake Temple — Systems of Conservation Laws with Coinciding Shock and Rarefaction Curves
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Norman J. Zabusky — Computational synergetics and mathematics innovation: waves and vortices [ MR 706096 ]
-
Neal R. Amundson — Reaction and Diffusion in Carbon Combustion
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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 ]
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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
-
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.