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Homogenization Algebras and Applications : A Deterministic Homogenization Theory / by Gabriel Nguetseng.
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2025 English International Available online
View online- Format:
- Book
- Author/Creator:
- Nguetseng, Gabriel., Author.
- Series:
- Springer Monographs in Mathematics, 2196-9922
- Language:
- English
- Subjects (All):
- Differential equations.
- Functional analysis.
- Operator theory.
- Mathematical physics.
- Engineering mathematics.
- Engineering--Data processing.
- Engineering.
- Differential Equations.
- Functional Analysis.
- Operator Theory.
- Mathematical Physics.
- Theoretical, Mathematical and Computational Physics.
- Mathematical and Computational Engineering Applications.
- Local Subjects:
- Differential Equations.
- Functional Analysis.
- Operator Theory.
- Mathematical Physics.
- Theoretical, Mathematical and Computational Physics.
- Mathematical and Computational Engineering Applications.
- Physical Description:
- 1 online resource (XXII, 415 p.)
- Edition:
- 1st ed. 2025.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
- 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.
- Contents:
- - 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.
- Notes:
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-031-84705-9
- OCLC:
- 1523369680
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