Homogenization of Partial Differential Equations

• Main Authors: Marchenko, Vladimir A. (Author), Khruslov, Evgueni Ya (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2006.
• Series: Progress in Mathematical Physics ; 46
• Subjects: Mathematics.; Functional analysis.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Mathematical optimization.; Physics.; Statistical physics.; Dynamical systems.; Partial Differential Equations.; Mathematical Methods in Physics.; Applications of Mathematics.; Statistical Physics, Dynamical Systems and Complexity.; Functional Analysis.; Optimization.

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 o...

Table of Contents:

• 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.