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 Schrodinger equations ; Cauchy problem of nonisentropic gas dynamics equations ; Existence and uniqueness of global solution for certain degenerate reaction-diffusion systems