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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ftunivcam:oai:www.repository.cam.ac.uk:1810/336481 2024-01-14T10:04:37+01:00 Well-posedness of Hibler's dynamical sea-ice model Liu, Xin Thomas, Marita Titi, Edriss S 2022-04-24T23:01:49Z application/pdf https://www.repository.cam.ac.uk/handle/1810/336481 https://doi.org/10.17863/CAM.83899 eng eng Springer Department of Applied Mathematics And Theoretical Physics http://dx.doi.org/10.1007/s00332-022-09803-y Journal of Nonlinear Science https://www.repository.cam.ac.uk/handle/1810/336481 doi:10.17863/CAM.83899 All Rights Reserved http://www.rioxx.net/licenses/all-rights-reserved math.AP 35A01 35A02 35Q86 86A05 Article 2022 ftunivcam https://doi.org/10.17863/CAM.83899 2023-12-21T23:29:00Z 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. EPSRC Grant Number EP/R014604/1 Article in Journal/Newspaper Arctic Sea ice Apollo - University of Cambridge Repository Arctic |
institution |
Open Polar |
collection |
Apollo - University of Cambridge Repository |
op_collection_id |
ftunivcam |
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. EPSRC Grant Number EP/R014604/1 |
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://www.repository.cam.ac.uk/handle/1810/336481 https://doi.org/10.17863/CAM.83899 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic Sea ice |
genre_facet |
Arctic Sea ice |
op_relation |
https://www.repository.cam.ac.uk/handle/1810/336481 doi:10.17863/CAM.83899 |
op_rights |
All Rights Reserved http://www.rioxx.net/licenses/all-rights-reserved |
op_doi |
https://doi.org/10.17863/CAM.83899 |
_version_ |
1788059115980849152 |