Journal
JOURNAL OF NONLINEAR SCIENCE
Volume 32, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/s00332-022-09803-y
Keywords
Well-posedness; Ice rheology; Sea-ice; Hibler sea-ice model
Categories
Funding
- Deutsche Forschungsgemeinschaft (DFG) [AA2-9]
- DFG [235221301, CRC 1114]
- Einstein Stiftung/Foundation - Berlin, through the Einstein Visiting Fellow Program
- Isaac Newton Institute for Mathematical Sciences
- EPSRC [EP/R014604/1]
- Simons Foundation
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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. The choice of regularization is carefully designed to retain the original coupled hyperbolic-parabolic character of the model. This study provides a foundation for both numerical and future analytical studies.
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 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.
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