Article
| 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 |
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| Category: | math |
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| 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 |
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| Date available: | 2023-03-31T09:34:08Z |
| Last updated: | 2023-09-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151610 |
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