Singularly Perturbed Boundary-Value Problems 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Barbu, Luminita 作者

Springer Verlag

译者

出版日期

230 页数

$ 157.07 价格

HRD

丛书系列

9783764383305 图书编码

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发表于2024-11-10

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Singularly Perturbed Boundary-Value Problems 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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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