Global existence and uniqueness for Hibler's visco-plastic sea-ice model
Analysis of PDEs
2025-08-25 v1
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.
Cite
@article{arxiv.2508.16537,
title = {Global existence and uniqueness for Hibler's visco-plastic sea-ice model},
author = {Stefan Dingel and Karoline Disser},
journal= {arXiv preprint arXiv:2508.16537},
year = {2025}
}