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:
ddc:510
Well-posedness
ice rheology
sea-ice
Hibler sea-ice model
Sea ice
Online Access:https://oa.tib.eu/renate/handle/123456789/9551
https://doi.org/10.34657/8589
id fttibhannoverren:oai:oa.tib.eu:123456789/9551
record_format openpolar
spelling fttibhannoverren:oai:oa.tib.eu:123456789/9551 2024-09-15T18:34:25+00:00 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 ISSN:2198-5855 DOI:https://doi.org/10.20347/WIAS.PREPRINT.2833 https://oa.tib.eu/renate/handle/123456789/9551 https://doi.org/10.34657/8589 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. frei zugänglich ddc:510 Well-posedness ice rheology sea-ice Hibler sea-ice model status-type:publishedVersion doc-type:Report doc-type:Text 2021 fttibhannoverren https://doi.org/10.34657/858910.20347/WIAS.PREPRINT.2833 2024-07-03T23:33:52Z 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. Report Sea ice Renate - Repositorium für Naturwissenschaften und Technik (TIB Hannover)
institution Open Polar
collection Renate - Repositorium für Naturwissenschaften und Technik (TIB Hannover)
op_collection_id fttibhannoverren
language English
topic ddc:510
Well-posedness
ice rheology
sea-ice
Hibler sea-ice model
spellingShingle ddc:510
Well-posedness
ice rheology
sea-ice
Hibler sea-ice model
Liu, Xin
Thomas, Marita
Titi, Edriss
Well-posedness of Hibler's dynamical sea-ice model
topic_facet ddc:510
Well-posedness
ice rheology
sea-ice
Hibler sea-ice model
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 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
genre Sea ice
genre_facet Sea ice
op_relation ISSN:2198-5855
DOI:https://doi.org/10.20347/WIAS.PREPRINT.2833
https://oa.tib.eu/renate/handle/123456789/9551
https://doi.org/10.34657/8589
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.
frei zugänglich
op_doi https://doi.org/10.34657/858910.20347/WIAS.PREPRINT.2833
_version_ 1810476272437952512

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