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arXiv · 2508.16537

Global existence and uniqueness for Hibler's visco-plastic sea-ice model

Stefan Dingel·Karoline Disser
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Abstract

In this paper, we prove global existence and uniqueness of weak solutions to the momentum equations of Hibler's visco-plastic model for the dynamics of the arctic sea-ice covers. Although Hibler's model is standardly used in global climate simulations, there are only few rigorous mathematical results so far that mainly concern local-in-time well-posedness of globally regularized variants. Here, we consider Hibler's original model with local cut-off for arbitrarily small and large strain rates. Degeneracy and plasticity of the stress tensor hold in this range.

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Stefan Dingel, Karoline Disser. 2025-08-22. Global existence and uniqueness for Hibler's visco-plastic sea-ice model. https://arxiv.org/abs/2508.16537

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