This volume contains 30 research papers presenting the recent development and trend on the following subjects: nonlinear hyperbolic equations (systems); nonlinear parabolic equations (systems); infinite-dimensional dynamical systems; applications (free boundary problems, phase transitions, etc.).
On global properties of some nonlinear parabolic equations, M. Ben Artzi; Linearization of shock reflection by almost perpendicular ramp, S.X. Chen; On the L-regularity theorems for a family of stokes type systems, H.B. Da Veiga; A finite volume implicit method based on characteristics flux for solving hyperbolic systems of conservation laws, J-.M. Ghidaglia et al; Various phenomena on the large-time behaviour of solutions to the system in nonlinear thermoviscoelasticity, L. Hsiao; Life-span of classical solutions to nonlinear wave equations in four space dimensions, T.T. Li; The dynamical law of Ginzburg-Landau vortices, F.H. Lin; On KAM theory for perturbation of integrable infinite-dimensional Hamiltonian system, Q.J. Qiu; On Lp-Iq estimates for solutions of a special weakly hyperbolic equation, M. Reissig; A discrete velocity model for metastable fluid flow, M. Slemrod; Free boundary problems for the Navier-stokes equations with moving contact points, V.A. Solonnikov; Local solvability to nonlinear degenerate parabolic systems, S. Spagnolo; Nonlinear wave equations with weak dissipation, Y.C. You; Mathematical results on the coupled Cahn-Hilliard equations, S.M. Zheng. (Part contents).