Homogenization of Partial Differential Equations by Vladimir A Marchenko: New

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Item specifics

Condition
Very Good: A book that has been read but is in excellent condition. No obvious damage to the cover, ...
Pages
402
Publication Date
2005-11-29
Book Title
Homogenization of Partial Differential Equations
ISBN
9780817643515
Category

About this product

Product Identifiers

Publisher
Birkhäuser Boston
ISBN-10
0817643516
ISBN-13
9780817643515
eBay Product ID (ePID)
48238900

Product Key Features

Number of Pages
Xiv, 402 Pages
Publication Name
Homogenization of Partial Differential Equations
Language
English
Publication Year
2005
Subject
Differential Equations / General, Differential Equations / Partial, Applied, Physics / Mathematical & Computational
Type
Textbook
Subject Area
Mathematics, Science
Author
Vladimir A. Marchenko, Evgueni Ya. Khruslov, B.Verkin Institute for Low Temperature Physics and Engineering Staff
Series
Progress in Mathematical Physics Ser.
Format
Hardcover

Dimensions

Item Weight
59.3 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
Reviews
From the reviews:"The aim of homogenization theory is to establish the macroscopic behaviour of a microinhomogenous system, in order to describe some characteristics of the given heterogeneous medium. … The book is an excellent, practice oriented, and well written introduction to homogenization theory bringing the reader to the frontier of current research in the area. It is highly recommended to graduate students in applied mathematics as well as to researchers interested in mathematical modeling and asymptotical analysis." (J. Kolumban, Studia Universitatis Babes-Bolyai Mathematica, Vol. LII (1), 2007), From the reviews: "The aim of homogenization theory is to establish the macroscopic behaviour of a microinhomogenous system, in order to describe some characteristics of the given heterogeneous medium. a? The book is an excellent, practice oriented, and well written introduction to homogenization theory bringing the reader to the frontier of current research in the area. It is highly recommended to graduate students in applied mathematics as well as to researchers interested in mathematical modeling and asymptotical analysis." (J. Kolumban, Studia Universitatis Babes-Bolyai Mathematica, Vol. LII (1), 2007), From the reviews: "The aim of homogenization theory is to establish the macroscopic behaviour of a microinhomogenous system, in order to describe some characteristics of the given heterogeneous medium. ... The book is an excellent, practice oriented, and well written introduction to homogenization theory bringing the reader to the frontier of current research in the area. It is highly recommended to graduate students in applied mathematics as well as to researchers interested in mathematical modeling and asymptotical analysis." (J. Kolumban, Studia Universitatis Babes-Bolyai Mathematica, Vol. LII (1), 2007)
Series Volume Number
46
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
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.
Synopsis
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. The present monograph is a comprehensive study of homogenized problems, focusing 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 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., 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., 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. The present monograph is a comprehensive study of homogenized problems, focusing 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 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., 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
LC Classification Number
QA370-380

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