Recent Topics in Nonlinear PDE

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Page iii

Copyright page
Page iv

Preface
Page v
M. Mimura, T. Nishida

On the Fluid Dynamical Limit of the Boltzmann Equation Original Research Article
Pages 1-19
Kiyoshi Asano, Seiji Ukai

Neumann Layer Phenomena in Nonlinear Diffusion Systems Original Research Article
Pages 21-38
Hiroshi Fujii, Yuzo Hosono

Water Waves and Friedriehs Expansion Original Research Article
Pages 39-57
Tadayoshi Kano, Takaaki Nishida

Global Existence and Stability of Solutions for Discrete Velocity Models of the Boltzmann Equation Original Research Article
Pages 59-85
Shuichi Kawashima

Blow-up of Solutions for Quasi-Linear Wave Equations in Two Space Dimensions Original Research Article
Pages 87-91
Kyūya Masuda

A Kinetic Approximation of Entropy Solutions of First Order Quasilinear Equations Original Research Article
Pages 93-105
Tetsuro Miyakawa

Instability of Spatially Homogeneous Periodic Solutions to Delay-Diffusion Equations Original Research Article
Pages 107-124
Yoshihisa Morita

On Some Nonlinear Dispersive Systems and the Associated Nonlinear Evolution Operators Original Research Article
Pages 125-142
Shinnosuke Oharu, Tadayasu Takahashi

Nonstationary or Stationary Free Boundary Problems for Perfect Fluid with Surface Tension Original Research Article
Pages 143-154
Hisashi Okamoto

Global Existence Theorem for Nonlinear Wave Equation in Exterior Domain Original Research Article
Pages 155-196
Yoshihiro Shibata, Yoshio Tsutsumi

Diffusion Processes and Partial Differential Equations Original Research Article
Pages 197-210
Kazuaki Taira

Free Boundary Problems for the Equations of Motion of General Fluids Original Research Article
Pages 211-219
Atusi Tani

Scattering of Solutions of Nonlinear Klein-Gordon Equations in Higher Space Dimensions Original Research Article
Pages 221-239
Masayoshi Tsutsumi, Nakao Hayashi