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Product Code:  AMSIP/3 
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Product Code:  AMSIP/3.E 
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AMS Member Price:  $75.20 
Softcover ISBN:  9780821806616 
eBook ISBN:  9781470437947 
Product Code:  AMSIP/3.B 
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Book DetailsAMS/IP Studies in Advanced MathematicsVolume: 3; 1997; 637 ppMSC: 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, reactiondiffusion equations, the NavierStokes equations, and more. New results were presented and are featured in this volume.
Titles in this series are copublished with International Press of Boston, Inc., Cambridge, MA.
ReadershipGraduate students and research mathematicians interested in algebraic geometry.

Table of Contents

Chapters

Multiscale structure for hyperbolic waves

EulerPoissonDarboux 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

Particlelike solutions of the EinsteinYang Mills equations and the existence of an exotic blackhole solution

The large time behavior of Cauchy problem for a dissipative BenjaminOno 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 MD 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 blowup on some parabolic equations

Analytic solutions of BelousovZhabotinskii reaction

The global attractors for the LandauLifshitz equation of the ferromagnetic spin chain on compact manifolds

Discontinuous solutions of the NavierStokes 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 shockwaves 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 reactiondiffusion system

Resonances of the Schwarzschild metric

Scattering operator for the KleinGordon equation on the Schwarzschild metric

Periodic boundary value problem and Cauchy problem for generalized IMBq equation with several variables

A degenerate reactiondiffusion 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 NavierStokes equations with stream form

A combined spectralfinite element method for a type of nonlinear twodimensional Schrödinger equations

Cauchy problem of nonisentropic gas dynamics equations

Existence and uniqueness of global solution for certain degenerate reactiondiffusion systems

On the spherically symmetric motion of selfgravitating isentropic gas surrounding a solid ball

Dynamics on the attractor for reactiondiffusion 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 2D Euler equations by using MmB schemes

Global existence of solutions for the reactiondiffusion 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 KdVBurgers equations

Convergence and error bound analysis of a finitedifference scheme for the onedimensional NavierStokes equations

Vacuum problem for the damped psystem


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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, reactiondiffusion equations, the NavierStokes equations, and more. New results were presented and are featured in this volume.
Titles in this series are copublished with International Press of Boston, Inc., Cambridge, MA.
Graduate students and research mathematicians interested in algebraic geometry.

Chapters

Multiscale structure for hyperbolic waves

EulerPoissonDarboux 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

Particlelike solutions of the EinsteinYang Mills equations and the existence of an exotic blackhole solution

The large time behavior of Cauchy problem for a dissipative BenjaminOno 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 MD 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 blowup on some parabolic equations

Analytic solutions of BelousovZhabotinskii reaction

The global attractors for the LandauLifshitz equation of the ferromagnetic spin chain on compact manifolds

Discontinuous solutions of the NavierStokes 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 shockwaves 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 reactiondiffusion system

Resonances of the Schwarzschild metric

Scattering operator for the KleinGordon equation on the Schwarzschild metric

Periodic boundary value problem and Cauchy problem for generalized IMBq equation with several variables

A degenerate reactiondiffusion 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 NavierStokes equations with stream form

A combined spectralfinite element method for a type of nonlinear twodimensional Schrödinger equations

Cauchy problem of nonisentropic gas dynamics equations

Existence and uniqueness of global solution for certain degenerate reactiondiffusion systems

On the spherically symmetric motion of selfgravitating isentropic gas surrounding a solid ball

Dynamics on the attractor for reactiondiffusion 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 2D Euler equations by using MmB schemes

Global existence of solutions for the reactiondiffusion 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 KdVBurgers equations

Convergence and error bound analysis of a finitedifference scheme for the onedimensional NavierStokes equations

Vacuum problem for the damped psystem