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Matched Asymptotic Expansions in Reaction-Diffusion Theory de J.A. Leach

Matched Asymptotic Expansions in Reaction-Diffusion Theory: Springer Monographs in Mathematics

Autor J.A. Leach, D.J. Needham
en Limba Engleză Hardback – 12 dec 2003

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Specificații

ISBN-13: 9781852337674
ISBN-10: 1852337672
Pagini: 290
Ilustrații: X, 290 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.6 kg
Ediția:2004
Editura: SPRINGER LONDON
Colecția Springer
Seria Springer Monographs in Mathematics

Locul publicării:London, United Kingdom

Public țintă

Research

Cuprins

1) Fisher Nonlinearity: Initial Data with Algebraic Decay Rates.- 5 Extension to Systems of Fisher-Kolmogorov Equations. Example: A Simple Model for an Ionic Autocatalytic System.- 6 Introduction.- 7 Permanent Form Travelling Waves (PTWs).- 8 The Initial-Boundary Value Problem.- 9 Asymptotic Solution of IBVP as t ? 0 for 0 ? x < ?: Initial Data with Exponential or Algebraic Decay Rates ?.- 10 Extension to the System of Singular Reaction-Diffusion Equations 221.- C Analysis of Boundary Value Problem (8.76)–(8.78).- D Analysis of Boundary Value Problem (8.90)–(8.92).- References.

Recenzii

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)

Caracteristici

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