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Homogenization algebras and applications = a deterministic homogenization theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Homogenization algebras and applications/ by Gabriel Nguetseng.
其他題名:	a deterministic homogenization theory /
作者:	Nguetseng, Gabriel.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xxii, 415 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Mathematical and Computational Engineering Applications. -
電子資源:	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:

1387767
Mathematical and Computational Engineering Applications.

LC Class. No.: QA377

Dewey Class. No.: 515.353

Homogenization algebras and applications = a deterministic homogenization theory /
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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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