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arXiv · 2104.01336

Rigorous Analysis and Dynamics of Hibler's sea ice model

Felix Brandt·Karoline Disser·Robert Haller-Dintelmann·Matthias Hieber
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Abstract

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.

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Felix Brandt, Karoline Disser, Robert Haller-Dintelmann, Matthias Hieber. 2021-04-03. Rigorous Analysis and Dynamics of Hibler's sea ice model. https://doi.org/10.1007/s00332-022-09805-w

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