On Reiterated Homogenization Identities
Gespeichert in:
Verfasser / Beitragende:
[S. Pastukhova, R. Tikhomirov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 205/2(2015-02-01), 297-303
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2248-1 |2 doi |
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| 245 | 0 | 0 | |a On Reiterated Homogenization Identities |h [Elektronische Daten] |c [S. Pastukhova, R. Tikhomirov] |
| 520 | 3 | |a We study homogenization of linear equations with coefficients oscillating relative to different groups of variables with periods of different smallness order. In this case, the constant effective coefficient matrix is found by successive application of classical homogenization. We construct a two-scale matrix whose effective matrix depends on the order of reiterated homogenizations. Such a dependence is not observed in some simplest cases, for example, if the spatial variable is one-dimensional or the medium has layer structure. Bibliography: 2 titles. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Pastukhova |D S. |u Moscow State Institute of Radio Engineering, Electronics and Automation (Technical University), 78, pr. Vernadskogo, 119454, Moscow, Russia |4 aut | |
| 700 | 1 | |a Tikhomirov |D R. |u Vladimir State University, 87, ul. Gor'kogo, 600000, Vladimir, Russia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 205/2(2015-02-01), 297-303 |x 1072-3374 |q 205:2<297 |1 2015 |2 205 |o 10958 | |
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| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2248-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Pastukhova |D S. |u Moscow State Institute of Radio Engineering, Electronics and Automation (Technical University), 78, pr. Vernadskogo, 119454, Moscow, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Tikhomirov |D R. |u Vladimir State University, 87, ul. Gor'kogo, 600000, Vladimir, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 205/2(2015-02-01), 297-303 |x 1072-3374 |q 205:2<297 |1 2015 |2 205 |o 10958 | ||