Medium amplitude model for internal waves over large topography variation
The purpose of this paper is to present the derivation and mathematical analysis of a new asymptotic model that describes the evolution of medium amplitude internal waves propagating between a flat rigid-lid and a highly variable topography. The smallness assumptions on the topographic variation par...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | |
| التنسيق: | article |
| منشور في: |
2022
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| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/16614 https://doi.org/10.1016/j.jmaa.2022.126364 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.sciencedirect.com/science/article/pii/S0022247X2200378X |
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| _version_ | 1864513472937590784 |
|---|---|
| author | Lteif, Ralph |
| author2 | Khorbatly, Bashar |
| author2_role | author |
| author_facet | Lteif, Ralph Khorbatly, Bashar |
| author_role | author |
| dc.creator.none.fl_str_mv | Lteif, Ralph Khorbatly, Bashar |
| dc.date.none.fl_str_mv | 2022 2022-10-15 2025-02-19T11:14:08Z 2025-02-19T11:14:08Z |
| dc.identifier.none.fl_str_mv | 0022-247X http://hdl.handle.net/10725/16614 https://doi.org/10.1016/j.jmaa.2022.126364 Lteif, R., & Khorbatly, B. (2022). Medium amplitude model for internal waves over large topography variation. Journal of Mathematical Analysis and Applications, 514(2), 126364. http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.sciencedirect.com/science/article/pii/S0022247X2200378X |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | Journal of Mathematical Analysis and Applications |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | Medium amplitude model for internal waves over large topography variation |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | The purpose of this paper is to present the derivation and mathematical analysis of a new asymptotic model that describes the evolution of medium amplitude internal waves propagating between a flat rigid-lid and a highly variable topography. The smallness assumptions on the topographic variation parameter used in Lteif et al. (2015) [19] and in Lteif and Israwi (2018) [18] are now relaxed and the results of the aforementioned papers are improved and generalized to the complex case of large topography variation. Limiting the flow to one-layer, we also emphasize our model's well-posedness in comparison to the original asymptotic model. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_9c0aca8b658a6680ea8f3e00fe65a615 |
| identifier_str_mv | 0022-247X Lteif, R., & Khorbatly, B. (2022). Medium amplitude model for internal waves over large topography variation. Journal of Mathematical Analysis and Applications, 514(2), 126364. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/16614 |
| publishDate | 2022 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Medium amplitude model for internal waves over large topography variationLteif, RalphKhorbatly, BasharThe purpose of this paper is to present the derivation and mathematical analysis of a new asymptotic model that describes the evolution of medium amplitude internal waves propagating between a flat rigid-lid and a highly variable topography. The smallness assumptions on the topographic variation parameter used in Lteif et al. (2015) [19] and in Lteif and Israwi (2018) [18] are now relaxed and the results of the aforementioned papers are improved and generalized to the complex case of large topography variation. Limiting the flow to one-layer, we also emphasize our model's well-posedness in comparison to the original asymptotic model.Published2025-02-19T11:14:08Z2025-02-19T11:14:08Z20222022-10-15Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0022-247Xhttp://hdl.handle.net/10725/16614https://doi.org/10.1016/j.jmaa.2022.126364Lteif, R., & Khorbatly, B. (2022). Medium amplitude model for internal waves over large topography variation. Journal of Mathematical Analysis and Applications, 514(2), 126364.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttps://www.sciencedirect.com/science/article/pii/S0022247X2200378XenJournal of Mathematical Analysis and Applicationsinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/166142025-02-19T11:14:08Z |
| spellingShingle | Medium amplitude model for internal waves over large topography variation Lteif, Ralph |
| status_str | publishedVersion |
| title | Medium amplitude model for internal waves over large topography variation |
| title_full | Medium amplitude model for internal waves over large topography variation |
| title_fullStr | Medium amplitude model for internal waves over large topography variation |
| title_full_unstemmed | Medium amplitude model for internal waves over large topography variation |
| title_short | Medium amplitude model for internal waves over large topography variation |
| title_sort | Medium amplitude model for internal waves over large topography variation |
| url | http://hdl.handle.net/10725/16614 https://doi.org/10.1016/j.jmaa.2022.126364 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.sciencedirect.com/science/article/pii/S0022247X2200378X |