| Title:
|
Homogenization of monotone parabolic problems with several temporal scales (English) |
| Author:
|
Persson, Jens |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
57 |
| Issue:
|
3 |
| Year:
|
2012 |
| Pages:
|
191-214 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we homogenize monotone parabolic problems with two spatial scales and any number of temporal scales. Under the assumption that the spatial and temporal scales are well-separated in the sense explained in the paper, we show that there is an H-limit defined by at most four distinct sets of local problems corresponding to slow temporal oscillations, slow resonant spatial and temporal oscillations (the “slow” self-similar case), rapid temporal oscillations, and rapid resonant spatial and temporal oscillations (the ``rapid'' self-similar case), respectively. (English) |
| Keyword:
|
homogenization |
| Keyword:
|
$H$-convergence |
| Keyword:
|
multiscale convergence |
| Keyword:
|
parabolic |
| Keyword:
|
monotone |
| Keyword:
|
parabolic problem |
| MSC:
|
35B05 |
| MSC:
|
35B27 |
| MSC:
|
35K59 |
| idZBL:
|
Zbl 1265.35018 |
| idMR:
|
MR2984600 |
| DOI:
|
10.1007/s10492-012-0013-z |
| . |
| Date available:
|
2012-06-08T09:57:06Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142850 |
| . |
| Reference:
|
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| Reference:
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