Recent Topics in Nonlinear PDE IV

Recent Topics in Nonlinear PDE IV

1st Edition - April 1, 2000

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  • Editors: M. Mimura, T. Nishida
  • eBook ISBN: 9780080880204

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Description

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.

Table of Contents

  • A Local Characterization of Blowup Points of Semilinear Heat Equations (Y. Giga).
    The Navier Stokes Equation Associated with the Discrete Boltzmann Equation (S. Kawashima, Y. Shizuta).
    Route to Chaos in a Navier-Stokes Flow (S. Kida, M. Yamada, K. Ohkitani).
    Periodic Solutions of a Viscous Gas Equation (A. Matsumura, T. Nishida).
    On the One-Dimensional Free Boundary Problem for the Heat-Conductive Compressible Viscous Gas (T. Nagasawa).
    A Computational Verification Method of Existence of Solutions for Nonlinear Elliptic Equations (M.T. Nakao).
    Degenerate Bifurcations in the Taylor-Couette Problem (H. Okamoto).
    Uniqueness of the Critical Point of the Solution to the Prescribed Constant Mean Curvature Equation over Convex Domain in R2 (S. Sakaguchi).
    Symmetric Domains and Elliptic Equations (T. Suzuki).
    On the Cauchy Problem for the KP Equation (S. Ukai).
    Weak Asymptotic Solutions to Hyperbolic Systems of Conservation Laws (A. Yoshikawa).
    The Vanishing Viscosity Method in Two-Phase Stefan Problems with Nonlinear Flux Conditions (N. Kenmochi, I. Pawlow).

Product details

  • Language: English
  • Copyright: © North Holland 2000
  • Published: April 1, 2000
  • Imprint: North Holland
  • eBook ISBN: 9780080880204

About the Editors

M. Mimura

Affiliations and Expertise

Hiroshima University, Japan

T. Nishida

Affiliations and Expertise

Kyoto University, Japan

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