AMS/IP Studies in Advanced Mathematics 1997; 637 pp; softcover Volume: 3 ISBN10: 0821806610 ISBN13: 9780821806616 List Price: US$89 Member Price: US$71.20 Order Code: AMSIP/3
 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. Readership Graduate students and research mathematicians interested in algebraic geometry. Table of Contents Plenary Lectures  B. Boston, J. Glimm, J. W. Grove, R. Holmes, and Q. Zhang  Multiscale structure for hyperbolic waves
 G.Q. Chen  EulerPoissonDarboux equations and hyperbolic conservation laws
 C. M. Dafermos  Entropy for hyperbolic systems of conservation laws in several space dimensions
 X.X. Ding  Some results on nonlinear evolution equations
 P. D. Lax  The zero dispersion limit, a deterministic analogue of turbulence
 T.P. Liu  Nonlinear waves for viscous conservation laws
 M. Mimura, K. Sakamoto, and S.I. Ei  Singular perturbation problems to a combustion equation in very long cylindrical domains
 J. A. Smoller and A. G. Wasserman  Particlelike solutions of the EinsteinYangMills equations and the existence of an exotic blackhole solution
 Y. Zhou and B. Guo  The large time behavior of Cauchy problems for a dissipative BenjaminOno type equation
Parallel Invited Talks  J. T. Beale, T. Y. Hou, and J. Lowengrub  Stability of boundary integral methods for water waves
 Z. Biro and R. Kersner  On the compactly supported solutions of KPP or Fischer type equations
 T. Chang and S. Yang  Delta waves in solutions of conservation laws
 C. Shuxing  Solution to MD Riemann problems for quasilinear hyperbolic system of proportional conservation laws
 H. Freistühler  Contributions to the mathematical theory of magnetohydrodynamic shock waves
 Y. Gu  Necessary and sufficient conditions of extinction and blowup on some parabolic equations
 G. BenYu and C. ZhiXiong  Analytic solutions of BelousovZhabotinskii reaction
 G. Boling, H. Minchun, and S. Fengqiu  The global attractors for the LandauLifshitz equation of the Ferromagnetic spin chain on compact manifolds
 D. Hoff  Discontinuous solutions of the NavierStokes equations for multidimensional, compressible flow
 L. Hsiao  Global existence and qualitative behavior of solutions for the system of compressible adiabatic flow with damping
 F. Hubert and D. Serre  Slow dynamics of linear waves in nonlinear systems of conservation laws
 A. Jeffrey and Y. G. Lu  A study of the global weak solution for the isentropic equations of a polytropic gas
 S. Kawashima and H. Hattori  Smooth shock profiles in viscoelasticity with memory
 L. Tatsien, Z. Yi, and K. Dexing  Weak linear degeneracy and global existence of classical solutions for quasilinear hyperbolic systems
 L. Lin  Survey of vacuum theory and conjecture
 P. Luo  The initial value problem of a system of conservation laws
 P. A. Marcati and R. Natalini  Entropy solutions for a hydrodynamic model for semiconductors
 A. Matsumura  A survey on stability of viscous shock profiles without genuine nonlinearity
 Y. Nishiura and H. Suzuki  Asymptotic configuration of stationary interfacial patterns for reaction diffusion systems
 Q. Mengzhao  A symplectic difference scheme for the PDEs
 S. Schochet  The essence of Glimm's scheme
 J. Shen and R. Temam  Nonlinear Galerkin method using Legendre polynomials
 J. Smoller and B. Temple  Multidimensional shockwaves for relativistic fluids
 S. Hesheng  Nonlinear system of equations of mixed type and nonlinear complex equation of mixed type
 A. Szepessy  On the stability of Broadwell shocks
 D. Tan  Riemann problem for hyperbolic combustion
 T. Zhenhuan  Optimal error estimates for viscosity method and monotone scheme to Riemann problem
 J. Wu  A new framework of nonlinear hydrodynamics
 Z. Xin  Shock and boundary layer behavior of solutions to the Broadwell equation in the fluid dynamic limit
 Z. Li and Y. I. Kanel  A new proof of existence of the wave front solutions for a kind of reactiondiffusion system
Contributions  A. MotetBachelot  Resonances of the Schwarzschild metric
 A. Bachelot  Scattering operator for the KleinGordon equation on the Schwarzschild metric
 G. Chen and Z. Yang  Periodic boundary value problem and Cauchy problem for generalized IMBq equation with several variables
 Z. Chen and X. Chen  A degenerate reactiondiffusion problem
 E. Fan and Y. Wang  Cauchy problem for strongly damped nonlinear wave equations
 B. Hanouzet and R. Natalini  Systems of quasilinear hyperbolic equations with quadratic coupling
 J. Huang  Large time step Glimm's and Godunov's schemes and their entropy consistency
 L. Kaitai, M. Yichen, and F. Weibing  Nonlinear Galerkin method for NavierStokes equations with stream form
 X.Q. Liu and S.C. Wu  A combined spectralfinite element method for a type of nonlinear twodimensional Schrödinger equation
 L. Fagui  Cauchy problem of nonisentropic gas dynamics equations
 L. Guofu  Existence and uniqueness of global solution for certain degenerate reactiondiffusion systems
 T. Makino  On the spherically symmetric motion of selfgravitating isentropic gas surrounding a solid ball
 Y. Morita  Dynamics on the attractor for reactiondiffusion systems in higher space dimensions
 Q. Chaochun and C. Fengxin  Finite dimensionality of attractors of magnetic flow equation
 S. K. Ng  On a complex dynamical and dissipative structure of partial differential equations
 M.X. Wang  Global behavior of positive solutions to quasilinear parabolic equation with nonlinear boundary absorption
 W. Weike  Interaction of three progressing waves with different singularities for semilinear wave equations
 W. Xuefeng  The bidimensional Stefan problem with nonlinear convection
 W. Yuanming and G. Ping  Some problems on semiconductor equations
 W. Yonghui and W. MingXin  Existence and nonexistence of global solution of nonlinear parabolic equation with nonlinear boundary condition
 S. Yang  Spirals for Riemann problems in multipieces for 2D Euler equations by using MmB schemes
 Y. Wanli  Global existence of solutions for the reactiondiffusion systems which don't satisfy a zero sum condition
 Z. Yang and G. Chen  Nonexistence of global solutions to a class of generalized improved Boussinesq equations
 N. Yoshida  Zeros of solutions of hyperbolic equations with functional arguments
 H. Zhao, C. Zhu, and Z. Yu  Existence and convergence of solutions to higher order generalized KDVBurgers equations
 J. J. Zhao and D. Hoff  Convergence and error bound analysis of a finitedifference scheme for the onedimensional NavierStokes equations
 Y.S. Zheng  Vacuum problem for the damped psystem
