Advertisement

Asymptotics for Dissipative Nonlinear Equations

  • Nakao Hayashi
  • Pavel I. Naumkin
  • Elena I. Kaikina
  • Ilya A. Shishmarev

Part of the Lecture Notes in Mathematics book series (LNM, volume 1884)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Pages 1-50
  3. Pages 51-178
  4. Back Matter
    Pages 541-561

About this book

Introduction

Many of problems of the natural sciences lead to nonlinear partial differential equations. However, only a few of them have succeeded in being solved explicitly. Therefore different methods of qualitative analysis such as the asymptotic methods play a very important role. This is the first book in the world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.

Keywords

Asymptotic methods Cauchy problem global existence nonlinear evolution equations partial differential equation pseudodifferential operators wave equation

Authors and affiliations

  • Nakao Hayashi
    • 1
  • Pavel I. Naumkin
    • 2
  • Elena I. Kaikina
    • 3
  • Ilya A. Shishmarev
    • 4
  1. 1.Department of Mathematics Graduate School of ScienceOsaka UniversityOsaka ToyonakaJapan
  2. 2.Instituto de MatemáticasUNAM Campus MoreliaMoreliaMexico
  3. 3.Instituto de MatemáticasUNAM Campus MoreliaMoreliaMexico
  4. 4.Department of Computational Mathematics and CyberneticsMoscow State UniversityMoscowRussia

Bibliographic information

Industry Sectors
Pharma
Finance, Business & Banking
Electronics
Aerospace
Oil, Gas & Geosciences