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.
Author(s): Takaaki Nishida, Masayasu Mimura and Hiroshi Fujii (Eds.)
Series: Studies in Mathematics and Its Applications 18
Publisher: Elsevier Science Ltd
Year: 1986
Language: English
Commentary: (add ocr)
Pages: ii-ix, 1-692
Content:
Editors
Page ii
Edited by
Page iii
Copyright page
Page iv
Dedication
Page v
Preface
Pages vi-vii
Takaaki Nishida, Masayasu Mimura, Hiroshi Fujii
The Soul of Mathematics
Pages viii-ix
Peter D. Lax
On Weakly Hyperbolic Equations with Constant Multiplicities Original Research Article
Pages 1-10
Sigeru Mizohata
Strongly Hyperbolic Equations and their Applications Original Research Article
Pages 11-36
Nobuhisa Iwasaki
Solutions of the Boltzmann Equation Original Research Article
Pages 37-96
Seiji Ukai
Equations of Motion of Compressible Viscous Fluids Original Research Article
Pages 97-128
Takaaki Nishida
Predation-Mediated Coexistence and Segregation Structures Original Research Article
Pages 129-155
Masayasu Mimura, Yukio Kan-on
On the Structure of Multiple Existence of Stable Stationary Solutions in Systems of Reaction-Diffusion Equations Original Research Article
Pages 157-219
Hiroshi Fujii, Yasumasa Nishiura, Yuzo Hosono
Chaotic Phenomena and Fractal Objects in Numerical Analysis Original Research Article
Pages 221-258
Shigehiro Ushiki
Fractals in Mathematics Original Research Article
Pages 259-278
Masayoshi Hata
Parallel Computation Original Research Article
Pages 279-318
Tatsuo Nogi
A Theoretical and Computational Study of Upwind-Type Finite Element Methods Original Research Article
Pages 319-356
Masahisa Tabata
Positive Solutions to Some Semilinear Elliptic Equations in L1(Rn) Original Research Article
Pages 357-367
Masaharu Arai, Akira Nmakaoka
On the Vlasov-Poisson Limit of the Vlasov-Maxwell Equation Original Research Article
Pages 369-383
Kiyoshi Asano, Seiji Ukai
A Discrete Model for Spatially Aggregating Phenomena Original Research Article
Pages 385-418
Tsutomu Ikeda
A Note on the Blowing-up Problem of a Certain System of Nonlinear Parabolic Equations Original Research Article
Pages 419-429
Nobutoshi Itaya
L'équation de Kadomtsev-Petviashvili approchant les ondes longues de surface de l'eau en écoulement trois-dimensionnel Original Research Article
Pages 431-444
Par Tadayoshi Kano
Application of an Iteration Scheme to the Analysis of Incompressible or Nearly Incompressible Media Original Research Article
Pages 445-458
Fumio Kikuchi
On a Local Existence Theorem for the Evolution Equation of Gaseous Stars Original Research Article
Pages 459-479
Tetu Makino
Fundamental Solution of the Linearized System for the Exterior Stationary Problem of Compressible Viscous Flow Original Research Article
Pages 481-505
Akitaka Matsumura
Nonlocal Advection Effect on Bistable Reaction-Diffusion Equations Original Research Article
Pages 507-542
Masayasu Mimura, David Terman, Tohru Tsujikawa
On Small Data Scattering for Some Nonlinear Wave Equations Original Research Article
Pages 543-560
Kiyoshi Mochizuki, Takahiro Motai
The Near-field Finite Difference Approximation for Wave Propagation Problems in Infinite Media Original Research Article
Pages 561-582
Tomoyasu-Taguti Nakagawa
Energy Decay for Nonlinear Wave Equations with Degenerate Dissipative Terms Original Research Article
Pages 583-596
Mitsuhiro Nakao
On the Stochastic Integral Equation of Fredholm Type Original Research Article
Pages 597-605
Shigeyoshi Ogawa
An Approach to Constrained Equations and Strange Attractors Original Research Article
Pages 607-630
Hiroe Oka, Hiroshi Kokubu
On the Existence of Progressive Waves in the Flow of Perfect Fluid around a Circle Original Research Article
Pages 631-644
Hisashi Okamoto, Mayumi Shōji
On Laminar Boundary Layers with Suction Original Research Article
Pages 645-662
Taira Shirota
Initial Value Problem for Kac's Model of the Boltzmann Equation Original Research Article
Pages 663-673
Yasushi Shizuta, Hideko Nishiyama
The Initial Value Problem for the Equations of the Motion of Compressible Viscous Fluid with Some Slip Boundary Condition Original Research Article
Pages 675-684
Atusi Tani
Index
Pages 685-692
