Patterns and Waves: Qualitative Analysis of Nonlinear Differential Equations

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