Analysis and numerical simulations of a landfast ice model
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914507811454976 |
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| author | Brandt, Felix Mehlmann, Carolin |
| author_facet | Brandt, Felix Mehlmann, Carolin |
| contents | In this manuscript, we consider a common modeling framework for Arctic landfast ice based on the work of Lemieux et al. [27], which is designed for use in large-scale climate models. This approach extends the classical viscous-plastic sea-ice model introduced by Hibler [18], which remains the most used model for simulating large-scale sea-ice dynamics in climate science. In particular, landfast ice refers to sea-ice that is attached to the coastline or grounded and therefore exhibits nearly vanishing motion. We present a rigorous analytical and numerical study of this landfast ice model. The main analytical contributions are the local strong well-posedness, the global strong well-posedness in the absence of external forces and for initial data close to constant equilibrium solutions, and the existence of time-periodic solutions. Complementing the analysis, we perform numerical simulations that illustrate key qualitative differences between landfast ice and classical viscous-plastic sea-ice models. In particular, the simulations reveal the formation of stationary equilibrium states characterized by vanishing ice velocity. These observations are consistent with the global-in-time existence result close to equilibria established in Theorem 4.1 as well as the time-periodic result in Theorem 5.2. The combined analytical and numerical results provide new insight into the structure, stability, and long-term behavior of landfast ice dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23596 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analysis and numerical simulations of a landfast ice model Brandt, Felix Mehlmann, Carolin Analysis of PDEs 35Q86, 86A05, 35K59 In this manuscript, we consider a common modeling framework for Arctic landfast ice based on the work of Lemieux et al. [27], which is designed for use in large-scale climate models. This approach extends the classical viscous-plastic sea-ice model introduced by Hibler [18], which remains the most used model for simulating large-scale sea-ice dynamics in climate science. In particular, landfast ice refers to sea-ice that is attached to the coastline or grounded and therefore exhibits nearly vanishing motion. We present a rigorous analytical and numerical study of this landfast ice model. The main analytical contributions are the local strong well-posedness, the global strong well-posedness in the absence of external forces and for initial data close to constant equilibrium solutions, and the existence of time-periodic solutions. Complementing the analysis, we perform numerical simulations that illustrate key qualitative differences between landfast ice and classical viscous-plastic sea-ice models. In particular, the simulations reveal the formation of stationary equilibrium states characterized by vanishing ice velocity. These observations are consistent with the global-in-time existence result close to equilibria established in Theorem 4.1 as well as the time-periodic result in Theorem 5.2. The combined analytical and numerical results provide new insight into the structure, stability, and long-term behavior of landfast ice dynamics. |
| title | Analysis and numerical simulations of a landfast ice model |
| topic | Analysis of PDEs 35Q86, 86A05, 35K59 |
| url | https://arxiv.org/abs/2604.23596 |