Homogenization of partial differential equations

Author(s)
Bibliographic Information

Homogenization of partial differential equations

Vladimir A. Marchenko ; Evgueni Ya. Khruslov ; Translated from the original Russian by M. Goncharenko and D. Shepelsky

(Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser, v. 46)

Birkhäuser, c2006

Other Title

Усредненные модели микронеоднородных сред

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Note

Including bibliographical references(p. [387]-395) and index

Description and Table of Contents

Description

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

Table of Contents

* 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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