Homogenization Algebras and Applications A Deterministic Homogenization Theory /
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 act...
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| Formato: | Electrónico eBook |
| Lenguaje: | inglés |
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Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Edición: | 1st ed. 2025. |
| Colección: | Springer Monographs in Mathematics,
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| Acceso en línea: | https://doi.org/10.1007/978-3-031-84705-9 |
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| 100 | 1 | |a Nguetseng, Gabriel. |e author. |0 (orcid)0009-0003-1160-0941 |1 https://orcid.org/0009-0003-1160-0941 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Homogenization Algebras and Applications |h [electronic resource] : |b A Deterministic Homogenization Theory / |c by Gabriel Nguetseng. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a XXII, 415 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Use of color is not sole means of conveying information |2 onix | |
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| 490 | 1 | |a Springer Monographs in Mathematics, |x 2196-9922 | |
| 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 0 | |a Engineering |x Data processing. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Operator Theory. |
| 650 | 2 | 4 | |a Mathematical Physics. |
| 650 | 2 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 650 | 2 | 4 | |a Mathematical and Computational Engineering Applications. |
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| 776 | 0 | 8 | |i Printed edition: |z 9783031847042 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031847066 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031847073 |
| 830 | 0 | |a Springer Monographs in Mathematics, |x 2196-9922 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-84705-9 |
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
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| 950 | |a Focus Bundle Mathematics and Statistics (SpringerNature-85421) | ||