Nonlinear Evolutionary Partial Differential Equations

Plenary Lectures: Multiscale structure for hyperbolic waves by B. Boston, J. Glimm, J. W. Grove, R. Holmes, and Q. Zhang Euler-Poisson-Darboux equations and hyperbolic conservation laws by G.-Q. Chen Entropy for hyperbolic systems of conservation laws in several space dimensions by C. M. Dafermos Some results on nonlinear evolution equations by X.-X. Ding The zero dispersion limit, a deterministic analogue of turbulence by P. D. Lax Nonlinear waves for viscous conservation laws by T.-P. Liu Singular perturbation problems to a combustion equation in very long cylindrical domains by M. Mimura, K. Sakamoto, and S.-I. Ei Particle-like solutions of the Einstein-Yang-Mills equations and the existence of an exotic black-hole solution by J. A. Smoller and A. G. Wasserman The large time behavior of Cauchy problems for a dissipative Benjamin-Ono type equation by Y. Zhou and B. Guo Parallel Invited Talks: Stability of boundary integral methods for water waves by J. T. Beale, T. Y. Hou, and J. Lowengrub On the compactly supported solutions of KPP or Fischer type equations by Z. Biro and R. Kersner Delta waves in solutions of conservation laws by T. Chang and S. Yang Solution to M-D Riemann problems for quasilinear hyperbolic system of proportional conservation laws by C. Shuxing Contributions to the mathematical theory of magnetohydrodynamic shock waves by H. Freistuhler Necessary and sufficient conditions of extinction and blow-up on some parabolic equations by Y. Gu Analytic solutions of Belousov-Zhabotinskii reaction by G. Ben-Yu and C. Zhi-Xiong The global attractors for the Landau-Lifshitz equation of the Ferromagnetic spin chain on compact manifolds by G. Boling, H. Min-chun, and S. Fengqiu Discontinuous solutions of the Navier-Stokes equations for multidimensional, compressible flow by D. Hoff Global existence and qualitative behavior of solutions for the system of compressible adiabatic flow with damping by L. Hsiao Slow dynamics of linear waves in nonlinear systems of conservation laws by F. Hubert and D. Serre A study of the global weak solution for the isentropic equations of a polytropic gas by A. Jeffrey and Y. G. Lu Smooth shock profiles in viscoelasticity with memory by S. Kawashima and H. Hattori Weak linear degeneracy and global existence of classical solutions for quasilinear hyperbolic systems by L. Ta-tsien, Z. Yi, and K. De-xing Survey of vacuum theory and conjecture by L. Lin The initial value problem of a system of conservation laws by P. Luo Entropy solutions for a hydrodynamic model for semiconductors by P. A. Marcati and R. Natalini A survey on stability of viscous shock profiles without genuine nonlinearity by A. Matsumura Asymptotic configuration of stationary interfacial patterns for reaction diffusion systems by Y. Nishiura and H. Suzuki A symplectic difference scheme for the PDEs by Q. Mengzhao The essence of Glimm's scheme by S. Schochet Nonlinear Galerkin method using Legendre polynomials by J. Shen and R. Temam Multi-dimensional shock-waves for relativistic fluids by J. Smoller and B. Temple Nonlinear system of equations of mixed type and nonlinear complex equation of mixed type by S. Hesheng On the stability of Broadwell shocks by A. Szepessy Riemann problem for hyperbolic combustion by D. Tan Optimal error estimates for viscosity method and monotone scheme to Riemann problem by T. Zhen-huan A new framework of nonlinear hydrodynamics by J. Wu Shock and boundary layer behavior of solutions to the Broadwell equation in the fluid dynamic limit by Z. Xin A new proof of existence of the wave front solutions for a kind of reaction-diffusion system by Z. Li and Y. I. Kanel Contributions: Resonances of the Schwarzschild metric by A. Motet-Bachelot Scattering operator for the Klein-Gordon equation on the Schwarzschild metric by A. Bachelot Periodic boundary value problem and Cauchy problem for generalized IMBq equation with several variables by G. Chen and Z. Yang A degenerate reaction-diffusion problem by Z. Chen and X. Chen Cauchy problem for strongly damped nonlinear wave equations by E. Fan and Y. Wang Systems of quasilinear hyperbolic equations with quadratic coupling by B. Hanouzet and R. Natalini Large time step Glimm's and Godunov's schemes and their entropy consistency by J. Huang Nonlinear Galerkin method for Navier-Stokes equations with stream form by L. Kaitai, M. Yichen, and F. Weibing A combined spectral-finite element method for a type of; nonlinear two-dimensional Schrodinger equation by X.-Q. Liu and S.-C. Wu Cauchy problem of nonisentropic gas dynamics equations by L. Fagui Existence and uniqueness of global solution for certain degenerate reaction-diffusion systems by L. Guo-fu On the spherically symmetric motion of self-gravitating isentropic gas surrounding a solid ball by T. Makino Dynamics on the attractor for reaction-diffusion systems in higher space dimensions by Y. Morita Finite dimensionality of attractors of magnetic flow equation by Q. Chaochun and C. Fengxin On a complex dynamical and dissipative structure of partial differential equations by S. K. Ng Global behavior of positive solutions to quasilinear parabolic equation with nonlinear boundary absorption by M.-X. Wang Interaction of three progressing waves with different singularities for semilinear wave equations by W. Weike The bidimensional Stefan problem with nonlinear convection by W. Xuefeng Some problems on semiconductor equations by W. Yuanming and G. Ping Existence and nonexistence of global solution of nonlinear parabolic equation with nonlinear boundary condition by W. Yong-hui and W. Ming-Xin Spirals for Riemann problems in multipieces for 2-D Euler equations by using MmB schemes by S. Yang Global existence of solutions for the reaction-diffusion systems which don't satisfy a zero sum condition by Y. Wanli Nonexistence of global solutions to a class of generalized improved Boussinesq equations by Z. Yang and G. Chen Zeros of solutions of hyperbolic equations with functional arguments by N. Yoshida Existence and convergence of solutions to higher order generalized KDV-Burgers equations by H. Zhao, C. Zhu, and Z. Yu Convergence and error bound analysis of a finite-difference scheme for the one-dimensional Navier-Stokes equations by J. J. Zhao and D. Hoff Vacuum problem for the damped p-system by Y.-S. Zheng.