Patterns and Waves

1st Edition

Qualitative Analysis of Nonlinear Differential Equations

Editors: T. Nishida M. Mimura H. Fujii
Hardcover ISBN: 9780444701442
eBook ISBN: 9780080875392
Imprint: North Holland
Published Date: 1st January 1986
Page Count: 691
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Table of Contents

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 L1(Rn) (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'équation de Kadomtsev-Petviashvili approchant les ondes longues de surface de l'eau en écoulement 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. Shōji). On Laminar Boundary Layers with Suction (T. Shirota). Initial Valu


Part I of this volume surveys the developments in the analysis of nonlinear phenomena in Japan during the past decade, while Part II consists of up-to-date original papers concerning qualitative theories and their applications.

Dealt with here are nonlinear problems related to general analysis, fluid dynamics, mathematical biology and computer sciences, and their underlying mathematical structures, e.g. nonlinear waves and propagations, bifurcation phenomena, chaotic phenomena, and fractals.

The volume is dedicated to Professor Masaya Yamaguti in celebration of his 60th birthday.


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© North Holland 1986
North Holland
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About the Editors

T. Nishida Editor

M. Mimura Editor

H. Fujii Editor

Hidetoshi Fujii is Professor of the Department of Functional Diagnosis, Joining and Welding Research Institute, Osaka University, Japan. He is also the conference chairman of the 1st International Joint Symposium on Joining and Welding.