by VladimirA.Marchenko (Author), EvgueniYa.Khruslov (Author)
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
Format: Hardcover
Pages: 410
Publisher: Birkhauser
Published: 19 Dec 2005
ISBN 10: 0817643516
ISBN 13: 9780817643515
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)