Matched Asymptotic Expansions in Reaction-diffusion Theory - Rilegato

Leach, J.a.; Needham, D.j.

Rilegato

ISBN 10: 1852337672 ISBN 13: 9781852337674

Casa editrice: Springer Nature, 2003

Riassunto

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.

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Recensione

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)

Contenuti

1) Fisher Nonlinearity: Initial Data with Exponential Decay Rates or Compact Support.- 4 mth-Order (m > 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.

Dettagli dell'edizione

• Editore: Springer Nature
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 1852337672
• ISBN 13: 9781852337674
• Rilegatura: Copertina rigida
• Numero di pagine: 304
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania