Well-posedness of Hibler's dynamical sea-ice model
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Authors
Liu, Xin
Thomas, Marita
Titi, Edriss S
Publication Date
2022Journal Title
Journal of Nonlinear Science
ISSN
0938-8974
Publisher
Springer
Type
Article
This Version
AM
Metadata
Show full item recordCitation
Liu, X., Thomas, M., & Titi, E. S. (2022). Well-posedness of Hibler's dynamical sea-ice model. Journal of Nonlinear Science https://doi.org/10.1007/s00332-022-09803-y
Abstract
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 W.D. Hibler, Journal of Physical Oceanog-
raphy, 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 simula-
tion 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 nu-
merical study and future analytical study.
Keywords
math.AP, math.AP, 35A01, 35A02, 35Q86, 86A05
Sponsorship
EPSRC Grant Number EP/R014604/1
Funder references
Engineering and Physical Sciences Research Council (EP/R014604/1)
Embargo Lift Date
2023-05-20
Identifiers
External DOI: https://doi.org/10.1007/s00332-022-09803-y
This record's URL: https://www.repository.cam.ac.uk/handle/1810/336481
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