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Nonlinear Evolutionary Partial Differential Equations
 
Edited by: Xia-Xi Ding Academia Sinica, Beijing, China
Tai-Ping Liu Stanford University, Stanford, CA
A co-publication of the AMS and International Press of Boston
Nonlinear Evolutionary Partial Differential Equations
Softcover ISBN:  978-0-8218-0661-6
Product Code:  AMSIP/3
List Price: $100.00
MAA Member Price: $90.00
AMS Member Price: $80.00
eBook ISBN:  978-1-4704-3794-7
Product Code:  AMSIP/3.E
List Price: $94.00
MAA Member Price: $84.60
AMS Member Price: $75.20
Softcover ISBN:  978-0-8218-0661-6
eBook: ISBN:  978-1-4704-3794-7
Product Code:  AMSIP/3.B
List Price: $194.00 $147.00
MAA Member Price: $174.60 $132.30
AMS Member Price: $155.20 $117.60
Nonlinear Evolutionary Partial Differential Equations
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Nonlinear Evolutionary Partial Differential Equations
Edited by: Xia-Xi Ding Academia Sinica, Beijing, China
Tai-Ping Liu Stanford University, Stanford, CA
A co-publication of the AMS and International Press of Boston
Softcover ISBN:  978-0-8218-0661-6
Product Code:  AMSIP/3
List Price: $100.00
MAA Member Price: $90.00
AMS Member Price: $80.00
eBook ISBN:  978-1-4704-3794-7
Product Code:  AMSIP/3.E
List Price: $94.00
MAA Member Price: $84.60
AMS Member Price: $75.20
Softcover ISBN:  978-0-8218-0661-6
eBook ISBN:  978-1-4704-3794-7
Product Code:  AMSIP/3.B
List Price: $194.00 $147.00
MAA Member Price: $174.60 $132.30
AMS Member Price: $155.20 $117.60
  • Book Details
     
     
    AMS/IP Studies in Advanced Mathematics
    Volume: 31997; 637 pp
    MSC: Primary 35; 58; 14; Secondary 76; 32; 81

    This volume contains the proceedings from the International Conference on Nonlinear Evolutionary Partial Differential Equations held in Beijing in June 1993. The topic for the conference was selected because of its importance in the natural sciences and for its mathematical signifcance. Discussion topics include conservation laws, dispersion waves, Einstein's theory of gravitation, reaction-diffusion equations, the Navier-Stokes equations, and more. New results were presented and are featured in this volume.

    Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.

    Readership

    Graduate students and research mathematicians interested in algebraic geometry.

  • Table of Contents
     
     
    • Chapters
    • Multiscale structure for hyperbolic waves
    • Euler-Poisson-Darboux equations and hyperbolic conservation laws
    • Entropy for hyperbolic systems of conservation laws in several space dimensions
    • Some results on nonlinear evolution equations
    • The zero dispersion limit, a deterministic analogue of turbulence
    • Nonlinear waves for viscous conservation laws
    • Singular perturbation problems to a combustion equation in very long cylindrical domains
    • Particle-like solutions of the Einstein-Yang Mills equations and the existence of an exotic black-hole solution
    • The large time behavior of Cauchy problem for a dissipative Benjamin-Ono type equation
    • Stability of boundary integral methods for water waves
    • On the compactly supported solutions of KPP or Fischer type equations
    • Delta waves in solutions of conservation laws
    • Solution to M-D Riemann problems for quasilinear hyperbolic system of proportional conservation laws
    • Contributions to the mathematical theory of magnetohydrodynamic shock waves
    • Necessary and sufficient conditions of extinction and blow-up on some parabolic equations
    • Analytic solutions of Belousov-Zhabotinskii reaction
    • The global attractors for the Landau-Lifshitz equation of the ferromagnetic spin chain on compact manifolds
    • Discontinuous solutions of the Navier-Stokes equations for multidimensional, compressible flow
    • Global existence and qualitative behavior of solutions for the system of compressible adiabatic flow with damping
    • Slow dynamics of linear waves in nonlinear systems of conservation laws
    • A study of the global weak solution for the isentropic equation of a polytropic gas
    • Smooth shock profiles in viscoelasticity with memory
    • Weak linear degeneracy and global existence of classical solutions for quasilinear hyperbolic systems
    • Survey of vacuum theory and conjecture
    • The initial value problem of a system of conservation laws
    • Entropy solutions for a hydrodynamic model for semiconductors
    • A survey on stability of viscous shock profiles without genuine nonlinearity
    • Asymptotic configuration of stationary interfacial patterns for reaction diffusion systems
    • A symplectic difference scheme for the PDEs
    • The essence of Glimm’s scheme
    • Nonlinear Galerkin method using Legendre polynomials
    • Multidimensional shock-waves for relativistic fluids
    • Nonlinear system of equations of mixed type and nonlinear complex equation of mixed type
    • On the stability of Broadwell shocks
    • Riemann problem for hyperbolic combustion
    • Optimal error estimates for viscosity method and monotone scheme to Riemann problem
    • A new framework of nonlinear hydrodynamics
    • Shock and boundary layer behavior of solutions to the Broadwell equation in the fluid dynamic limit
    • A new proof of existence of the wave front solutions for a kind of reaction-diffusion system
    • Resonances of the Schwarzschild metric
    • Scattering operator for the Klein-Gordon equation on the Schwarzschild metric
    • Periodic boundary value problem and Cauchy problem for generalized IMBq equation with several variables
    • A degenerate reaction-diffusion problem
    • Cauchy problem for strongly damped nonlinear wave equations
    • Systems of quasilinear hyperbolic equations with quadratic coupling
    • Large time step Glimm’s and Godunov’s schemes and their entropy consistency
    • Nonlinear Galerkin method for Navier-Stokes equations with stream form
    • A combined spectral-finite element method for a type of nonlinear two-dimensional Schrödinger equations
    • Cauchy problem of nonisentropic gas dynamics equations
    • Existence and uniqueness of global solution for certain degenerate reaction-diffusion systems
    • On the spherically symmetric motion of self-gravitating isentropic gas surrounding a solid ball
    • Dynamics on the attractor for reaction-diffusion systems in higher space dimensions
    • Finite dimensionality of attractors of magnetic flow equation
    • On a complex dynamical and dissipative structure of partial differential equations
    • Global behavior of positive solutions to a quasilinear parabolic equation with nonlinear boundary absorption
    • Interaction of three progressing waves with different singularities for semilinear wave equations
    • The bidimensional Stefan problem with nonlinear convection
    • Some problems on semiconductor equations
    • Existence and nonexistence of global solution of nonlinear parabolic equation with nonlinear boundary condition
    • Spirals for Riemann problems in multipieces for 2-D Euler equations by using MmB schemes
    • Global existence of solutions for the reaction-diffusion systems which don’t satisfy a zero sum condition
    • Nonexistence of global solutions to a class of generalized improved Boussinesq equations
    • Zeros of solutions of hyperbolic equations with functional arguments
    • Existence and convergence of solutions to higher order generalized KdV-Burgers equations
    • Convergence and error bound analysis of a finite-difference scheme for the one-dimensional Navier-Stokes equations
    • Vacuum problem for the damped p-system
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 31997; 637 pp
MSC: Primary 35; 58; 14; Secondary 76; 32; 81

This volume contains the proceedings from the International Conference on Nonlinear Evolutionary Partial Differential Equations held in Beijing in June 1993. The topic for the conference was selected because of its importance in the natural sciences and for its mathematical signifcance. Discussion topics include conservation laws, dispersion waves, Einstein's theory of gravitation, reaction-diffusion equations, the Navier-Stokes equations, and more. New results were presented and are featured in this volume.

Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.

Readership

Graduate students and research mathematicians interested in algebraic geometry.

  • Chapters
  • Multiscale structure for hyperbolic waves
  • Euler-Poisson-Darboux equations and hyperbolic conservation laws
  • Entropy for hyperbolic systems of conservation laws in several space dimensions
  • Some results on nonlinear evolution equations
  • The zero dispersion limit, a deterministic analogue of turbulence
  • Nonlinear waves for viscous conservation laws
  • Singular perturbation problems to a combustion equation in very long cylindrical domains
  • Particle-like solutions of the Einstein-Yang Mills equations and the existence of an exotic black-hole solution
  • The large time behavior of Cauchy problem for a dissipative Benjamin-Ono type equation
  • Stability of boundary integral methods for water waves
  • On the compactly supported solutions of KPP or Fischer type equations
  • Delta waves in solutions of conservation laws
  • Solution to M-D Riemann problems for quasilinear hyperbolic system of proportional conservation laws
  • Contributions to the mathematical theory of magnetohydrodynamic shock waves
  • Necessary and sufficient conditions of extinction and blow-up on some parabolic equations
  • Analytic solutions of Belousov-Zhabotinskii reaction
  • The global attractors for the Landau-Lifshitz equation of the ferromagnetic spin chain on compact manifolds
  • Discontinuous solutions of the Navier-Stokes equations for multidimensional, compressible flow
  • Global existence and qualitative behavior of solutions for the system of compressible adiabatic flow with damping
  • Slow dynamics of linear waves in nonlinear systems of conservation laws
  • A study of the global weak solution for the isentropic equation of a polytropic gas
  • Smooth shock profiles in viscoelasticity with memory
  • Weak linear degeneracy and global existence of classical solutions for quasilinear hyperbolic systems
  • Survey of vacuum theory and conjecture
  • The initial value problem of a system of conservation laws
  • Entropy solutions for a hydrodynamic model for semiconductors
  • A survey on stability of viscous shock profiles without genuine nonlinearity
  • Asymptotic configuration of stationary interfacial patterns for reaction diffusion systems
  • A symplectic difference scheme for the PDEs
  • The essence of Glimm’s scheme
  • Nonlinear Galerkin method using Legendre polynomials
  • Multidimensional shock-waves for relativistic fluids
  • Nonlinear system of equations of mixed type and nonlinear complex equation of mixed type
  • On the stability of Broadwell shocks
  • Riemann problem for hyperbolic combustion
  • Optimal error estimates for viscosity method and monotone scheme to Riemann problem
  • A new framework of nonlinear hydrodynamics
  • Shock and boundary layer behavior of solutions to the Broadwell equation in the fluid dynamic limit
  • A new proof of existence of the wave front solutions for a kind of reaction-diffusion system
  • Resonances of the Schwarzschild metric
  • Scattering operator for the Klein-Gordon equation on the Schwarzschild metric
  • Periodic boundary value problem and Cauchy problem for generalized IMBq equation with several variables
  • A degenerate reaction-diffusion problem
  • Cauchy problem for strongly damped nonlinear wave equations
  • Systems of quasilinear hyperbolic equations with quadratic coupling
  • Large time step Glimm’s and Godunov’s schemes and their entropy consistency
  • Nonlinear Galerkin method for Navier-Stokes equations with stream form
  • A combined spectral-finite element method for a type of nonlinear two-dimensional Schrödinger equations
  • Cauchy problem of nonisentropic gas dynamics equations
  • Existence and uniqueness of global solution for certain degenerate reaction-diffusion systems
  • On the spherically symmetric motion of self-gravitating isentropic gas surrounding a solid ball
  • Dynamics on the attractor for reaction-diffusion systems in higher space dimensions
  • Finite dimensionality of attractors of magnetic flow equation
  • On a complex dynamical and dissipative structure of partial differential equations
  • Global behavior of positive solutions to a quasilinear parabolic equation with nonlinear boundary absorption
  • Interaction of three progressing waves with different singularities for semilinear wave equations
  • The bidimensional Stefan problem with nonlinear convection
  • Some problems on semiconductor equations
  • Existence and nonexistence of global solution of nonlinear parabolic equation with nonlinear boundary condition
  • Spirals for Riemann problems in multipieces for 2-D Euler equations by using MmB schemes
  • Global existence of solutions for the reaction-diffusion systems which don’t satisfy a zero sum condition
  • Nonexistence of global solutions to a class of generalized improved Boussinesq equations
  • Zeros of solutions of hyperbolic equations with functional arguments
  • Existence and convergence of solutions to higher order generalized KdV-Burgers equations
  • Convergence and error bound analysis of a finite-difference scheme for the one-dimensional Navier-Stokes equations
  • Vacuum problem for the damped p-system
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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