J.A. Leach, D.J. Needham

Matched Asymptotic Expansions in Reaction-Diffusion Theory

• Broschiertes Buch

Produktbeschreibung

This volume contains a wealth of results and methodologies applicable to a wide range of problems arising in reaction-diffusion theory. It can be viewed both as a handbook, and as a detailed description of the methodology. The authors present new methods based on matched asymptotic expansions.

Produktdetails

• Springer Monographs in Mathematics
• Verlag: Springer / Springer London / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4471-1054-5
• Softcover reprint of the original 1st ed. 2004
• Seitenzahl: 304
• Erscheinungstermin: 23. Oktober 2012
• Englisch
• Abmessung: 235mm x 155mm x 17mm
• Gewicht: 470g
• ISBN-13: 9781447110545
• ISBN-10: 1447110544
• Artikelnr.: 39502922

Inhaltsangabe

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.

Rezensionen

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)