Springer Monographs in Mathematics: A Deterministic Homogenization Theory

Nguetseng, Gabriel

The book presents a deterministic homogenization theory intended for the mathematical analysis of non-stochastic multiscale problems, both within and beyond the periodic setting. The main tools are the so-called homogenization algebras, the classical Gelfand representation theory, and a class of actions by the multiplicative group of positive real numbers on numerical spaces. The basic approach is the Sigma-convergence method, which generalizes the well-known two-scale convergence procedure. Numerous problems are worked out to illustrate the theory and highlight its broad applicability. The book is primarily intended for researchers (including PhD students) and lecturers interested in periodic as well as non-periodic homogenization theory.

Details

Published by: Springer

Publication Date: 2025-04-25

Format: Hardcover

ISBN-13: 9783031847042

DOI: 10.1007/978-3-031-84705-9

Dimensions: 235cm x155cm

Pages: 415