Recent Topics in Nonlinear PDE IV

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This fourth volume concerns the theory and applications of nonlinear PDEs in mathematical physics, reaction-diffusion theory, biomathematics, and in other applied sciences. Twelve papers present recent work in analysis, computational analysis of nonlinear PDEs and their applications.

Author(s): Masayasu Mimura and Takaaki Nishida (Eds.)
Series: North-Holland Mathematics Studies 160
Publisher: Elsevier Science Publishing Company
Year: 1989

Language: English
Pages: iii-v, 1-243
City: Providence

Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Page v
Masayasu Mimura, Takaaki Nishida

A Local Characterization of Blowup Points of Semilinear Heat Equations Original Research Article
Pages 1-14
Yoshikazu Giga

The Navier-Stokes Equation Associated with the Discrete Boltzmann Equation Original Research Article
Pages 15-30
Shuichi Kawashima, Yasushi Shizuta

Route to Chaos in a Navier-Stokes Flow Original Research Article
Pages 31-47
Shigeo Kida, Michio Yamada, Kohji Ohkitani

Periodic Solutions of a Viscous Gas Equation Original Research Article
Pages 49-82
Akitaka Matsumura, Takaaki Nishida

On the One-dimensional Free Boundary Problem for the Heat-conductive Compressible Viscous Gas Original Research Article
Pages 83-99
Takeyuki Nagasawa

A Computational Verification Method of Existence of Solutions for Nonlinear Elliptic Equations Original Research Article
Pages 101-120
Mitsuhiro T. Nakao

Degenerate Bifurcations in the Taylor-Couette Problem Original Research Article
Pages 121-128
Hisashi Okamoto

Uniqueness of Critical Point of the Solution to the Prescribed Constant Mean Curvature Equation Over Convex Domain in R2 Original Research Article
Pages 129-151
Shigeru Sakaguchi

Symmetric Domains and Elliptic Equations Original Research Article
Pages 153-177
Takashi Suzuki

On the Cauchy Problem for the KP Equation Original Research Article
Pages 179-194
Seiji Ukai

Weak Asymptotic Solutions to Hyperbol Systems of Conservation Laws Original Research Article
Pages 195-210
Atsushi Yoshikawa

The Vanishing Viscosity Method in Two-Phase Stefan Problems with Nonlinear Flux Conditions Original Research Article
Pages 211-243
Nobuyuki Kenmochi, Irena Pawlow