Homogenization of partial differential equations
著者
書誌事項
Homogenization of partial differential equations
(Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser, v. 46)
Birkhäuser, c2006
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Усредненные модели микронеоднородных сред
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注記
Including bibliographical references(p. [387]-395) and index
内容説明・目次
内容説明
A comprehensive study of homogenized problems, focusing on the construction of nonstandard models
Details a method for modeling processes in microinhomogeneous media (radiophysics, filtration theory, rheology, elasticity theory, and other domains)
Complete proofs of all main results, numerous examples
Classroom text or comprehensive reference for graduate students, applied mathematicians, physicists, and engineers
目次
* Preface * Introduction * The Dirichlet Boundary Value Problem in Strongly Perforated Domains with Fine-Grained Boundary * The Dirichlet Boundary Value Problem in Strongly Perforated Domains with Complex Boundary * Strongly Connected Domains * The Neumann Boundary Value Problems in Strongly Perforated Domains * Nonstationary Problems and Spectral Problems * Differential Equations with Rapidly Oscillating Coefficients * Homogenized Conjugation Conditions * References * Index
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