Homogenization of partial differential equations
Vladimir A. Marchenko
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Homogenization of partial differential equations
by Vladimir A. Marchenko, Evgueni Ya. Khruslov
Published
2006
Publisher
Birkhäuser Boston
Pages
398
ISBN-13
9781281950178
Description
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.
Subjects
Partial differential equations
Elements of partial differential equations
Partial differential equations
Partial differential equations
Handbook of differential equations
Partial Differential Equations
Frequently Asked Questions
How many pages are in Homogenization of partial differential equations?
This edition of Homogenization of partial differential equations has approximately 398 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Homogenization of partial differential equations?
For most readers, Homogenization of partial differential equations typically takes between 8h 18m and 5h 32m to complete. This is based on the book's length of approximately 99,500 words and common reading speeds.
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What is the word count of Homogenization of partial differential equations?
The estimated word count for Homogenization of partial differential equations is approximately 99,500 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Homogenization of partial differential equations?
Homogenization of partial differential equations was written by Vladimir A. Marchenko, Evgueni Ya. Khruslov.
When was Homogenization of partial differential equations published?
The publication date for this specific edition is 2006. The original work may have been published on a different date.