Kniha Singularly Perturbed Boundary-Value Problems Luminita Barbu

Singularly Perturbed Boundary-Value Problems

Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Birkhäuser
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
2 286
This book offers a detailed asymptotic analysis of some important classes of singularly perturbed bo...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2007
Stránek
230
EAN
9783764383305
Enbook ID
01716958
Vydavatel
Hmotnost
585
Rozměry
170 x 244 x 19

Kompletní popis

This book offers a detailed asymptotic analysis of some important classes of singularly perturbed boundary value problems which are mathematical models for various phenomena in biology, chemistry, and engineering. §The authors are particularly interested in nonlinear problems, which have hardly been examined so far in the literature dedicated to singular perturbations. This book proposes to fill in this gap, since most applications are described by nonlinear models. Their asymptotic analysis is very interesting, but requires special methods and tools. The treatment presented in this volume combines some of the most successful results from different parts of mathematics, including functional analysis, singular perturbation theory, partial differential equations, and evolution equations. Thus a complete justification for the replacement of various perturbed models with corresponding reduced models, which are simpler but in general have a different character, is offered to the reader§Specific applications are addressed, such as propagation of electromagnetic or mechanical waves, fluid flows, or diffusion processes. However, the methods presented are also applicable to other mathematical models.§The book covers mostly original results by the authors. It is designed for researchers and graduate students.

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