English

Rigorous Analysis and Dynamics of Hibler's sea ice model

Analysis of PDEs 2022-06-15 v1

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 LqL_q-setting and also globally strongly well-posed for initial data close to constant equilibria.

Keywords

Cite

@article{arxiv.2104.01336,
  title  = {Rigorous Analysis and Dynamics of Hibler's sea ice model},
  author = {Felix Brandt and Karoline Disser and Robert Haller-Dintelmann and Matthias Hieber},
  journal= {arXiv preprint arXiv:2104.01336},
  year   = {2022}
}