Homogenization of Partial Differential Equations

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Homogenization of Partial Differential Equati ...
Vladimir A. Marchenko, Evgueni ...
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April 17, 2024 | History

Homogenization of Partial Differential Equations

  • 1 Want to read

Homogenization is a method for modeling processes in microinhomogeneous media, which are encountered in radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology. These processes are described by PDEs with rapidly oscillating coefficients or boundary value problems in domains with complex microstructure. From the technical point of view, given the complexity of these processes, the best techniques to solve a wide variety of problems involve constructing appropriate macroscopic (homogenized) models. The present monograph is a comprehensive study of homogenized problems, based on the asymptotic analysis of boundary value problems as the characteristic scales of the microstructure decrease to zero. The work focuses on the construction of nonstandard models: non-local models, multicomponent models, and models with memory. Along with complete proofs of all main results, numerous examples of typical structures of microinhomogeneous media with their corresponding homogenized models are provided. Graduate students, applied mathematicians, physicists, and engineers will benefit from this monograph, which may be used in the classroom or as a comprehensive reference text.

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Publisher
Birkhäuser Boston
Language
English

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Cover of: Homogenization of Partial Differential Equations
Homogenization of Partial Differential Equations
2010, Birkhauser Verlag
in English
Cover of: Homogenization of Partial Differential Equations
Homogenization of Partial Differential Equations
2006, Birkhäuser Boston
in English
Cover of: Homogenization of Partial Differential Equations (Progress in Mathematical Physics)
Homogenization of Partial Differential Equations (Progress in Mathematical Physics)
November 29, 2005, Birkhäuser Boston
Hardcover in English - 1 edition

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The Physical Object

Pagination
398

Edition Identifiers

Open Library
OL51573559M
ISBN 13
9781281950178

Work Identifiers

Work ID
OL19855780W

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April 17, 2024 Created by ImportBot Imported from Better World Books record