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Record Nr. |
UNINA9910999688103321 |
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Autore |
Nguetseng Gabriel |
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Titolo |
Homogenization Algebras and Applications : A Deterministic Homogenization Theory / / by Gabriel Nguetseng |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
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ISBN |
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Edizione |
[1st ed. 2025.] |
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Descrizione fisica |
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1 online resource (XXII, 415 p.) |
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Collana |
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Springer Monographs in Mathematics, , 2196-9922 |
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Disciplina |
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Soggetti |
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Differential equations |
Functional analysis |
Operator theory |
Mathematical physics |
Engineering mathematics |
Engineering - Data processing |
Differential Equations |
Functional Analysis |
Operator Theory |
Mathematical Physics |
Theoretical, Mathematical and Computational Physics |
Mathematical and Computational Engineering Applications |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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- 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. |
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Sommario/riassunto |
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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- |
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