Patterns and Waves

The Soul of Mathematics (P.D. Lax). Part I. Hyperbolic Partial Differential Equations. Flow Problems. Reaction-Diffusion Equations. Chaos and Fractals. Numerical Analysis & Computations. Contributors: H. Fujii, M. Hata, Y. Hosono, N. Iwasaki, Y. Kan-on, M. Mimura, S. Mizohata, T. Nishida, Y. Nishiura, T. Nogi, M. Tabata, S. Ukai, S. Ushiki. Part II. Positive Solutions to Some Semilinear Elliptic Equations in L 1 ( R n ) (M. Arai and A. Nakaoka). On the Vlasov-Poisson Limit of the Vlasov-Maxwell Equation (K. Asano and S. Ukai). A Discrete Model for Spatially Aggregating Phenomena (T. Ikeda). A Note on the Blowing-Up Problem of a Certain System of Nonlinear Parabolic Equations (N. Itaya). L'equation de Kadomtsev-Petviashvili approchant les ondes longues de surface de l'eau en ecoulement trois-dimensionnel (T. Kano). Application of an Iteration Scheme to the Analysis of Incompressible or Nearly Incompressible Media (F. Kikuchi). On a Local Existence Theorem for the Evolution Equation of Gaseous Stars (T. Makino). Fundamental Solution of the Linearized System for the Exterior Stationary Problem of Compressible Viscous Flow (A. Matsumara). Nonlocal Advection Effect on Bistable Reaction-Diffusion Equations (M. Mimura, D. Terman and T. Tsujikawa). On Small Data Scattering for Some Nonlinear Wave Equations (K. Mochizuki and T. Motai). The Near-Field Finite Difference Approximation for Wave Propagation Problems in Infinite Media (T.-T. Nakagawa). Energy Decay for Nonlinear Wave Equations with Degenerate Dissipative Terms (M. Nakao). On the Stochastic Integral Equation of Fredholm Type (S. Ogawa). An Approach to Constrained Equations and Strange Attractors (H. Oka and H. Kokubo). On the Existence of Progressive Waves in the Flow of Perfect Fluid around a Circle (H. Okamoto and M. Shoji). On Laminar Boundary Layers with Suction (T. Shirota). Initial Value Problem for Kac's Model of the Boltzmann Equation (Y. Shizuta and H. Nishiyama). The Initial Value Problem for the Equations of the Motion of Compressible Viscous Fluid with Some Slip Boundary Condition (A. Tani). Index.