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Nonlinear partial differential equations
 
Edited by: Joel A Smoller
Nonlinear partial differential equations
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
Nonlinear partial differential equations
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
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 171983; 446 pp
    MSC: Primary 35
  • Table of Contents
     
     
    • 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
  • Requests
     
     
    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
Volume: 171983; 446 pp
MSC: Primary 35
  • 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.