| Title:
|
Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence (English) |
| Author:
|
Essel, Emmanuel Kwame |
| Author:
|
Kuliev, Komil |
| Author:
|
Kulieva, Gulchehra |
| Author:
|
Persson, Lars-Erik |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
55 |
| Issue:
|
4 |
| Year:
|
2010 |
| Pages:
|
305-327 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider a quasilinear parabolic problem with time dependent coefficients oscillating rapidly in the space variable. The existence and uniqueness results are proved by using Rothe's method combined with the technique of two-scale convergence. \endgraf Moreover, we derive a concrete homogenization algorithm for giving a unique and computable approximation of the solution. (English) |
| Keyword:
|
parabolic PDEs |
| Keyword:
|
Rothe's method |
| Keyword:
|
two-scale convergence |
| Keyword:
|
homogenization of periodic structures |
| Keyword:
|
homogenization algorithm |
| MSC:
|
35B27 |
| MSC:
|
35K20 |
| MSC:
|
35K55 |
| MSC:
|
74Q15 |
| idZBL:
|
Zbl 1224.35188 |
| idMR:
|
MR2737939 |
| DOI:
|
10.1007/s10492-010-0023-7 |
| . |
| Date available:
|
2010-07-20T13:51:02Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140402 |
| . |
| 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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| . |
