On Reiterated Homogenization Identities

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)
ID: 605522308
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024 7 0 |a 10.1007/s10958-015-2248-1  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2248-1 
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 
856 4 0 |u https://doi.org/10.1007/s10958-015-2248-1  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
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