| Title:
|
Multiscale homogenization of nonlinear hyperbolic-parabolic equations (English) |
| Author:
|
Dehamnia, Abdelhakim |
| Author:
|
Haddadou, Hamid |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
68 |
| Issue:
|
2 |
| Year:
|
2023 |
| Pages:
|
153-169 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main purpose of the present paper is to study the asymptotic behavior (when $\varepsilon \to 0$) of the solution related to a nonlinear hyperbolic-parabolic problem given in a periodically heterogeneous domain with multiple spatial scales and one temporal scale. Under certain assumptions on the problem's coefficients and based on a priori estimates and compactness results, we establish homogenization results by using the multiscale convergence method. (English) |
| Keyword:
|
nonlinear hyperbolic-parabolic equation |
| Keyword:
|
homogenization |
| Keyword:
|
multiscale convergence method |
| MSC:
|
34M10 |
| MSC:
|
35B27 |
| MSC:
|
35B40 |
| idZBL:
|
Zbl 07675564 |
| idMR:
|
MR4574651 |
| DOI:
|
10.21136/AM.2022.0160-21 |
| . |
| Date available:
|
2023-03-31T09:34:08Z |
| Last updated:
|
2025-05-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151610 |
| . |
| 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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| . |
