Matched Asymptotic Expansions in Reaction-Diffusion Theory - Brossura

Leach, J.A.; Needham, D.J.

Brossura

ISBN 10: 1447110544 ISBN 13: 9781447110545

Casa editrice: Springer, 2012

Riassunto

This is a mathematical monograph in Reaction Diffusion Theory. It presents new methods, which will be of interest to those researching in Reaction Diffusion theory, and to those applying the theory in epidemiology, population dynamics, chemical kinetics and biological systems.

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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
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1447110544
• ISBN 13: 9781447110545
• Rilegatura: Copertina flessibile
• Numero di pagine: 304
• Contatto del produttore: non disponibile
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