| Title:
|
Homogenization of some parabolic operators with several time scales (English) |
| Author:
|
Flodén, Liselott |
| Author:
|
Olsson, Marianne |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
52 |
| Issue:
|
5 |
| Year:
|
2007 |
| Pages:
|
431-446 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main focus in this paper is on homogenization of the parabolic problem $ \partial _{t}u^{\varepsilon }-\nabla \cdot ( a( {x}/{\varepsilon },{t}/{\varepsilon }, {t}/{\varepsilon ^{r}})\nabla u^{\varepsilon }) =f$. Under certain assumptions on $a$, there exists a $G$-limit $b$, which we characterize by means of multiscale techniques for $r>0$, $r\ne 1$. Also, an interpretation of asymptotic expansions in the context of two-scale convergence is made. (English) |
| Keyword:
|
homogenization |
| Keyword:
|
$G$-convergence |
| Keyword:
|
multiscale convergence |
| Keyword:
|
parabolic |
| Keyword:
|
asymptotic expansion |
| MSC:
|
35B27 |
| MSC:
|
35K20 |
| idZBL:
|
Zbl 1164.35315 |
| idMR:
|
MR2342599 |
| DOI:
|
10.1007/s10492-007-0025-2 |
| . |
| Date available:
|
2009-09-22T18:31:02Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134687 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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