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Homogenization algebras and applications = a deterministic homogenization theory /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Homogenization algebras and applications/ by Gabriel Nguetseng.
Reminder of title:	a deterministic homogenization theory /
Author:	Nguetseng, Gabriel.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xxii, 415 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Homogenization (Differential equations) -
Online resource:	https://doi.org/10.1007/978-3-031-84705-9
ISBN:	9783031847059

Homogenization algebras and applications = a deterministic homogenization theory /
Nguetseng, Gabriel.

Homogenization algebras and applicationsa deterministic homogenization theory /[electronic resource] :by Gabriel Nguetseng. - Cham :Springer Nature Switzerland :2025. - xxii, 415 p. :ill., digital ;24 cm. - Springer monographs in mathematics,2196-9922. - Springer monographs in mathematics..

- 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.

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.

ISBN: 9783031847059

Standard No.: 10.1007/978-3-031-84705-9doiSubjects--Topical Terms:

672525
Homogenization (Differential equations)

LC Class. No.: QA377

Dewey Class. No.: 515.353

Homogenization algebras and applications = a deterministic homogenization theory /
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505 0 $a - 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.
520 $a 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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650 2 4 $a Operator Theory. $3 672127
650 2 4 $a Mathematical Physics. $3 786661
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650 2 4 $a Mathematical and Computational Engineering Applications. $3 1387767
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