Rigorous Analysis and Dynamics of Hibler's sea ice model

This article develops for the first time a rigorous analysis of Hibler's model of sea ice dynamics. Identifying Hibler's ice stress as a quasilinear second order operator and regarding Hibler's model as a quasilinear evolution equation, it is shown that Hibler's coupled sea ice m...

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Bibliographic Details
Main Authors: Brandt, Felix, Disser, Karoline, Haller-Dintelmann, Robert, Hieber, Matthias
Format: Article in Journal/Newspaper
Language:unknown
Published: arXiv 2021
Subjects:
Analysis of PDEs math.AP
FOS Mathematics
35Q86, 35K59, 86A05, 86A10
Sea ice
Online Access:https://dx.doi.org/10.48550/arxiv.2104.01336
https://arxiv.org/abs/2104.01336
id ftdatacite:10.48550/arxiv.2104.01336
record_format openpolar
spelling ftdatacite:10.48550/arxiv.2104.01336 2023-05-15T18:16:16+02:00 Rigorous Analysis and Dynamics of Hibler's sea ice model Brandt, Felix Disser, Karoline Haller-Dintelmann, Robert Hieber, Matthias 2021 https://dx.doi.org/10.48550/arxiv.2104.01336 https://arxiv.org/abs/2104.01336 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Analysis of PDEs math.AP FOS Mathematics 35Q86, 35K59, 86A05, 86A10 Article CreativeWork article Preprint 2021 ftdatacite https://doi.org/10.48550/arxiv.2104.01336 2022-03-10T14:15:45Z This article develops for the first time a rigorous analysis of Hibler's model of sea ice dynamics. Identifying Hibler's ice stress as a quasilinear second order operator and regarding Hibler's model as a quasilinear evolution equation, it is shown that Hibler's coupled sea ice model, i.e., the model coupling velocity, thickness and compactness of sea ice, is locally strongly well-posed within the $L_q$-setting and also globally strongly well-posed for initial data close to constant equilibria. Article in Journal/Newspaper Sea ice DataCite Metadata Store (German National Library of Science and Technology)
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Analysis of PDEs math.AP
FOS Mathematics
35Q86, 35K59, 86A05, 86A10
spellingShingle Analysis of PDEs math.AP
FOS Mathematics
35Q86, 35K59, 86A05, 86A10
Brandt, Felix
Disser, Karoline
Haller-Dintelmann, Robert
Hieber, Matthias
Rigorous Analysis and Dynamics of Hibler's sea ice model
topic_facet Analysis of PDEs math.AP
FOS Mathematics
35Q86, 35K59, 86A05, 86A10
description This article develops for the first time a rigorous analysis of Hibler's model of sea ice dynamics. Identifying Hibler's ice stress as a quasilinear second order operator and regarding Hibler's model as a quasilinear evolution equation, it is shown that Hibler's coupled sea ice model, i.e., the model coupling velocity, thickness and compactness of sea ice, is locally strongly well-posed within the $L_q$-setting and also globally strongly well-posed for initial data close to constant equilibria.
format Article in Journal/Newspaper
author Brandt, Felix
Disser, Karoline
Haller-Dintelmann, Robert
Hieber, Matthias
author_facet Brandt, Felix
Disser, Karoline
Haller-Dintelmann, Robert
Hieber, Matthias
author_sort Brandt, Felix
title Rigorous Analysis and Dynamics of Hibler's sea ice model
title_short Rigorous Analysis and Dynamics of Hibler's sea ice model
title_full Rigorous Analysis and Dynamics of Hibler's sea ice model
title_fullStr Rigorous Analysis and Dynamics of Hibler's sea ice model
title_full_unstemmed Rigorous Analysis and Dynamics of Hibler's sea ice model
title_sort rigorous analysis and dynamics of hibler's sea ice model
publisher arXiv
publishDate 2021
url https://dx.doi.org/10.48550/arxiv.2104.01336
https://arxiv.org/abs/2104.01336
genre Sea ice
genre_facet Sea ice
op_rights arXiv.org perpetual, non-exclusive license
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
op_doi https://doi.org/10.48550/arxiv.2104.01336
_version_ 1766189775307407360

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