Homogenization Algebras and Applications
Nguetseng, Gabriel
Produktnummer:
188958c9d0a8104de28813270ac9fa4fd2
| Autor: | Nguetseng, Gabriel |
|---|---|
| Themengebiete: | Absorptive Continuous Actions Deterministic Homogenization Gelfand Transformation Global Homogenized Problem Homogenization Algebra Homogenization of Differential Operators Periodic Homogenization Sigma-Convergence Strong Approximation Two-Scale Convergence |
| Veröffentlichungsdatum: | 25.04.2025 |
| EAN: | 9783031847042 |
| Sprache: | Englisch |
| Seitenzahl: | 415 |
| Produktart: | Gebunden |
| Verlag: | Springer International Publishing |
| Untertitel: | A Deterministic Homogenization Theory |
Produktinformationen "Homogenization Algebras and Applications"
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.
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