Homogenization: Applications to the Biological and Physical Sciences

Homogenization: Applications to the Biological and Physical Sciences provides a comprehensive introduction to this powerful tool of analysis. The book presents the theoretical foundations of homogenization, a modeling procedure used to describe processes in complicated structures with known microstructures. Building on this theory, the authors explore various types of application problems, including flow in porous media, sound propagation in fluid saturated solids, acoustics of granular material, computational multiscale finite element methods, and interfaces in viscoelastic materials. The book also discusses results in which G-limits have different structures from the initial operators.