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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Bibliographic Details
Main Authors: Liu, Xin, Thomas, Marita, Titi, Edriss
Format: Report
Language:English
Published: Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik 2021
Subjects:
Well-posedness
ice rheology
sea-ice
Hibler sea-ice model
510
Arctic
Sea ice
Online Access:https://oa.tib.eu/renate/handle/123456789/9551
https://doi.org/10.34657/8589
id ftleibnizopen:oai:oai.leibnizopen.de:5dJEfYoBNQPDO7WIP310
record_format openpolar
spelling ftleibnizopen:oai:oai.leibnizopen.de:5dJEfYoBNQPDO7WIP310 2023-10-09T21:48:57+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 2023-09-10T23:35:24Z 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_ 1779312005274927104

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