Skip to main content
  • Book
  • © 2004

Matched Asymptotic Expansions in Reaction-Diffusion Theory

  • Presents completely new methodologies, based on matched asymptotic expansions
  • Can be used both as a handbook and as a detailed description of the methodologies
  • Includes supplementary material: sn.pub/extras

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

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (10 chapters)

  1. Front Matter

    Pages I-X
  2. The Evolution of Travelling Waves in Scalar Fisher-Kolmogorov Equations

    1. Front Matter

      Pages 1-1
    2. Introduction

      • J. A. Leach, D. J. Needham
      Pages 3-13
    3. Generalized Fisher Nonlinearity

      • J. A. Leach, D. J. Needham
      Pages 15-37
  3. The Analysis of a Class of Singular Scalar Reaction-Diffusion Equations

    1. Front Matter

      Pages 149-149
    2. Introduction

      • J. A. Leach, D. J. Needham
      Pages 151-154
    3. Permanent Form Travelling Waves (PTWs)

      • J. A. Leach, D. J. Needham
      Pages 155-176
    4. The Initial-Boundary Value Problem

      • J. A. Leach, D. J. Needham
      Pages 177-211
    5. Extension to the System of Singular Reaction-Diffusion Equations

      • J. A. Leach, D. J. Needham
      Pages 221-269
  4. Back Matter

    Pages 271-290

Reviews

From the reviews of the first edition:

"The book contains useful information on the topic, especially precise (and non-standard) asymptotic expansions in different regions collected with the help of the MAE-s into the complete characterization of the solutions to the nonlinear problems in consideration. The book is warmly recommended to specialists in ODE-s, PDE-s, researchers in reaction-diffusion theory, physicists, engineers and to students with basic knowledge on parabolic equations." (Jeno Hegedus, Acta Scientiarum Mathematicarum, Vol. 72, 2006)

Authors and Affiliations

  • Department of Mathematics, The University of Reading, Reading, UK

    J. A. Leach, D. J. Needham

Bibliographic Information

  • Book Title: Matched Asymptotic Expansions in Reaction-Diffusion Theory

  • Authors: J. A. Leach, D. J. Needham

  • Series Title: Springer Monographs in Mathematics

  • DOI: https://doi.org/10.1007/978-0-85729-396-1

  • Publisher: Springer London

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag London 2004

  • Hardcover ISBN: 978-1-85233-767-4Published: 12 December 2003

  • Softcover ISBN: 978-1-4471-1054-5Published: 23 October 2012

  • eBook ISBN: 978-0-85729-396-1Published: 06 December 2012

  • Series ISSN: 1439-7382

  • Series E-ISSN: 2196-9922

  • Edition Number: 1

  • Number of Pages: X, 290

  • Topics: Approximations and Expansions, Partial Differential Equations

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access