Singularly Pertrubed Boundary-Value Problems

Luminita Barbu, Gheorghe Morosanu3764383305, 9783764383305

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 readerSpecific 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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Table of contents :
SingularlyPerturbedBoundary1287_f.jpg……Page 1
1.pdf……Page 2
2.pdf……Page 14
3.pdf……Page 15
4.pdf……Page 28
5.pdf……Page 46
6.pdf……Page 47
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8.pdf……Page 74
9.pdf……Page 120
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11.pdf……Page 125
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13.pdf……Page 186
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16.pdf……Page 214
17.pdf……Page 232