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 {\it W.D. Hibler, Journal of Physical Oceanography, 1979}. Our choice of regularization has been carefully designed, prompted by physical...
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2021
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ftcdlib:oai:escholarship.org:ark:/13030/qt2vn2p4fd 2024-09-15T18:34:50+00:00 Well-posedness of Hibler's dynamical sea-ice model Liu, Xin Thomas, Marita Titi, Edriss S 2021-04-19 application/pdf https://escholarship.org/uc/item/2vn2p4fd https://escholarship.org/content/qt2vn2p4fd/qt2vn2p4fd.pdf unknown eScholarship, University of California qt2vn2p4fd https://escholarship.org/uc/item/2vn2p4fd https://escholarship.org/content/qt2vn2p4fd/qt2vn2p4fd.pdf CC-BY math.AP 35A01 35A02 35Q86 86A05 article 2021 ftcdlib 2024-06-28T06:28:22Z 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 {\it W.D. Hibler, Journal of Physical Oceanography, 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 simulation 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 numerical study and future analytical study. Article in Journal/Newspaper Sea ice University of California: eScholarship |
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Open Polar |
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University of California: eScholarship |
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ftcdlib |
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unknown |
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 {\it W.D. Hibler, Journal of Physical Oceanography, 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 simulation 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 numerical 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 |
eScholarship, University of California |
publishDate |
2021 |
url |
https://escholarship.org/uc/item/2vn2p4fd https://escholarship.org/content/qt2vn2p4fd/qt2vn2p4fd.pdf |
genre |
Sea ice |
genre_facet |
Sea ice |
op_relation |
qt2vn2p4fd https://escholarship.org/uc/item/2vn2p4fd https://escholarship.org/content/qt2vn2p4fd/qt2vn2p4fd.pdf |
op_rights |
CC-BY |
_version_ |
1810476846506049536 |