Recent Topics in Nonlinear PDE III

Kyûya Masuda and Takashi Suzuki (Eds.)0444703179, 9780444703170, 9780080872599

The problems treated in this volume concern nonlinear partial differential equations occurring in the areas of fluid dynamics, free boundary problems, population dynamics and mathematical physics. Presented are new results and new methods for analysis in bifurcation, singular perturbation, variational methods, stability analysis, rearrangement, energy inequalities, etc.

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Table of contents :
Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Page v
K. Masuda, T. Suzuki

Slow Traveling Wave Solutions to the Hodgkin-Huxley Equations Original Research Article
Pages 1-73
Hideo Ikeda, Masayasu Mimura, Tohru Tsujikawa

Traveling Train Solutions of FitzHugh-Nagumo Systems Original Research Article
Pages 75-104
Masayuki Ito

Singular Perturbation of Domains and the Structure of the Solutions of Semilinear Elliptic Equation Original Research Article
Pages 105-117
Shuichi Jimbo

Nonlinear Evolution Equations of Moser’s Type Original Research Article
Pages 119-156
Hideo Kawarada, Hideyuki Koshigoe

The Boltzmann Equation and Thirteen Moments Original Research Article
Pages 157-172
Shuichi Kawashima

On Compactly Supported Solutions of the Compressible Euler Equation Original Research Article
Pages 173-183
Tetu Makino, Seiji Ukai, Shuichi Kawashima

On a Nonlinear Eigenvalue Problem Original Research Article
Pages 185-218
Ken’ichi Nagasaki, Takashi Suzuki

On an Estimate for Solutions of Nonlinear Elliptic Variational Inequalities Original Research Article
Pages 219-239
Haruo Nagase

On the Boundedness of Cyclic Predator-prey Systems of Volterra and Lotka Original Research Article
Pages 241-246
Yorimasa Oshime

Forced Vibrations for a Superlinear Vibrating String Equation Original Research Article
Pages 247-266
Kazunaga Tanaka