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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

  • P.L. Sachdev
  • Ch.  Srinivasa Rao

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Sachdev* P.L., Srinivasa Rao Ch.
    Pages 1-7
  3. Sachdev* P.L., Srinivasa Rao Ch.
    Pages 189-232
  4. Back Matter
    Pages 1-3

About this book

Introduction

A large number of physical phenomena are modeled by nonlinear partial differential equations, subject to appropriate initial/ boundary conditions; these equations, in general, do not admit exact solution. The present monograph gives constructive mathematical techniques which bring out large time behavior of solutions of these model equations. These approaches, in conjunction with modern computational methods, help solve physical problems in a satisfactory manner.

The asymptotic methods dealt with here include self-similarity, balancing argument, and matched asymptotic expansions. The physical models discussed in some detail here relate to porous media equation, heat equation with absorption, generalized Fisher's equation, Burgers equation and its generalizations.

A chapter each is devoted to nonlinear diffusion and fluid mechanics. The present book will be found useful by applied mathematicians, physicists, engineers and biologists, and would considerably help understand diverse natural phenomena.

Keywords

Asymptotic Differential Equations Nonlinear Partial fluid mechanics linear optimization partial differential equation porous media

Authors and affiliations

  • P.L. Sachdev
    • 1
  • Ch.  Srinivasa Rao
    • 2
  1. 1.Dept. MathematicsIndian Institute of ScienceBangaloreIndia
  2. 2.Dept. MathematicsIndian Institute of Technology MadrasChennaiIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-87809-6
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-87808-9
  • Online ISBN 978-0-387-87809-6
  • Series Print ISSN 1439-7382
  • Buy this book on publisher's site