Well-posedness of Hibler's dynamical sea-ice model ...
This paper establishes the local-in-time well-posedness of solutions to an approximating system constructed by mildly regularizing the dynamical sea-ice model of W.D. Hibler, Journal of Physical Oceanog- raphy, 1979. Our choice of regularization has been carefully designed, prompted by physical cons...
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ftdatacite:10.17863/cam.83899 2024-02-04T09:58:07+01:00 Well-posedness of Hibler's dynamical sea-ice model ... Liu, Xin Thomas, Marita Titi, Edriss S 2022 https://dx.doi.org/10.17863/cam.83899 https://www.repository.cam.ac.uk/handle/1810/336481 en eng Springer open.access All Rights Reserved http://www.rioxx.net/licenses/all-rights-reserved http://purl.org/coar/access_right/c_abf2 math.AP 35A01, 35A02, 35Q86, 86A05 Article ScholarlyArticle JournalArticle article-journal 2022 ftdatacite https://doi.org/10.17863/cam.83899 2024-01-05T09:26:29Z This paper establishes the local-in-time well-posedness of solutions to an approximating system constructed by mildly regularizing the dynamical sea-ice model of W.D. Hibler, Journal of Physical Oceanog- raphy, 1979. Our choice of regularization has been carefully designed, prompted by physical considerations, to retain the original coupled hyperbolic-parabolic character of Hibler’s model. Various regularized versions of this model have been used widely for the numerical simula- tion of the circulation and thickness of the Arctic ice cover. However, due to the singularity in the ice rheology, the notion of solutions to the original model is unclear. Instead, an approximating system, which captures current numerical study, is proposed. The well-posedness theory of such a system provides a first-step groundwork in both nu- merical study and future analytical study. ... Article in Journal/Newspaper Arctic Sea ice DataCite Metadata Store (German National Library of Science and Technology) Arctic |
institution |
Open Polar |
collection |
DataCite Metadata Store (German National Library of Science and Technology) |
op_collection_id |
ftdatacite |
language |
English |
topic |
math.AP 35A01, 35A02, 35Q86, 86A05 |
spellingShingle |
math.AP 35A01, 35A02, 35Q86, 86A05 Liu, Xin Thomas, Marita Titi, Edriss S Well-posedness of Hibler's dynamical sea-ice model ... |
topic_facet |
math.AP 35A01, 35A02, 35Q86, 86A05 |
description |
This paper establishes the local-in-time well-posedness of solutions to an approximating system constructed by mildly regularizing the dynamical sea-ice model of W.D. Hibler, Journal of Physical Oceanog- raphy, 1979. Our choice of regularization has been carefully designed, prompted by physical considerations, to retain the original coupled hyperbolic-parabolic character of Hibler’s model. Various regularized versions of this model have been used widely for the numerical simula- tion of the circulation and thickness of the Arctic ice cover. However, due to the singularity in the ice rheology, the notion of solutions to the original model is unclear. Instead, an approximating system, which captures current numerical study, is proposed. The well-posedness theory of such a system provides a first-step groundwork in both nu- merical study and future analytical study. ... |
format |
Article in Journal/Newspaper |
author |
Liu, Xin Thomas, Marita Titi, Edriss S |
author_facet |
Liu, Xin Thomas, Marita Titi, Edriss S |
author_sort |
Liu, Xin |
title |
Well-posedness of Hibler's dynamical sea-ice model ... |
title_short |
Well-posedness of Hibler's dynamical sea-ice model ... |
title_full |
Well-posedness of Hibler's dynamical sea-ice model ... |
title_fullStr |
Well-posedness of Hibler's dynamical sea-ice model ... |
title_full_unstemmed |
Well-posedness of Hibler's dynamical sea-ice model ... |
title_sort |
well-posedness of hibler's dynamical sea-ice model ... |
publisher |
Springer |
publishDate |
2022 |
url |
https://dx.doi.org/10.17863/cam.83899 https://www.repository.cam.ac.uk/handle/1810/336481 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic Sea ice |
genre_facet |
Arctic Sea ice |
op_rights |
open.access All Rights Reserved http://www.rioxx.net/licenses/all-rights-reserved http://purl.org/coar/access_right/c_abf2 |
op_doi |
https://doi.org/10.17863/cam.83899 |
_version_ |
1789962467761192960 |