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Homogenization Algebras and Applications : A Deterministic Homogenization Theory / by Gabriel Nguetseng

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer Monographs in MathematicsPublisher: Cham : Springer Nature Switzerland, 2025Edition: 1st ed. 2025Description: 1 Online-Ressource(XXII, 415 p.)ISBN:
  • 9783031847059
Subject(s): Additional physical formats: 9783031847042 | 9783031847066 | 9783031847073 | Erscheint auch als: 9783031847042 Druck-Ausgabe | Erscheint auch als: 9783031847066 Druck-Ausgabe | Erscheint auch als: 9783031847073 Druck-Ausgabe | Erscheint auch als: Homogenization algebras and applications. Druck-Ausgabe Cham : Springer Nature Switzerland, 2025. xxii, 415 SeitenDDC classification:
  • 515.35 23
DOI: DOI: 10.1007/978-3-031-84705-9Online resources: Summary: - 1. Preliminaries. - 2. Homogenization Algebras on RN -- 3. Σ-Convergence: The Periodic Setting -- 4. Σ-Convergence: The General Setting -- 5. Homogenization of Elliptic Operators -- 6. Homogenization of Parabolic Operators I -- 7. Homogenization Of Parabolic Operators II -- 8. Reiterated Homogenization.Summary: 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.PPN: PPN: 1924006510Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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