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 con...
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ftleibnizopen:oai:oai.leibnizopen.de:Be011IYBdbrxVwz6-hdL 2023-05-15T15:02:45+02:00 Well-posedness of Hibler's dynamical sea-ice model Liu, Xin Thomas, Marita Titi, Edriss 2021 application/pdf https://oa.tib.eu/renate/handle/123456789/9551 https://doi.org/10.34657/8589 eng eng Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Well-posedness ice rheology sea-ice Hibler sea-ice model 510 report Text 2021 ftleibnizopen https://doi.org/10.34657/8589 2023-03-13T00:26:49Z 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. publishedVersion Report Arctic Sea ice LeibnizOpen (The Leibniz Association) Arctic |
institution |
Open Polar |
collection |
LeibnizOpen (The Leibniz Association) |
op_collection_id |
ftleibnizopen |
language |
English |
topic |
Well-posedness ice rheology sea-ice Hibler sea-ice model 510 |
spellingShingle |
Well-posedness ice rheology sea-ice Hibler sea-ice model 510 Liu, Xin Thomas, Marita Titi, Edriss Well-posedness of Hibler's dynamical sea-ice model |
topic_facet |
Well-posedness ice rheology sea-ice Hibler sea-ice model 510 |
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. publishedVersion |
format |
Report |
author |
Liu, Xin Thomas, Marita Titi, Edriss |
author_facet |
Liu, Xin Thomas, Marita Titi, Edriss |
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 |
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik |
publishDate |
2021 |
url |
https://oa.tib.eu/renate/handle/123456789/9551 https://doi.org/10.34657/8589 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic Sea ice |
genre_facet |
Arctic Sea ice |
op_rights |
This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
op_doi |
https://doi.org/10.34657/8589 |
_version_ |
1766334677638971392 |