A geophysical free-boundary system modeling an ice-sheet interacting with an ocean
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918234495647744 |
|---|---|
| author | Hieber, Matthias Kukavica, Igor Tuffaha, Amjad Xu, Qi |
| author_facet | Hieber, Matthias Kukavica, Igor Tuffaha, Amjad Xu, Qi |
| contents | We consider a free-boundary model for the ice-sheet interacting with an ocean. The model captures the coupling between a viscous geophysical fluid and an elastic interface through kinematic and dynamic boundary conditions that account for hydrodynamic loading. Using the ALE formulation, we derive a system on a fixed reference domain and establish local-in-time a priori estimates for strong solutions with initial data in $H^2$. The main analytical difficulties arise from the nonlinear terms involving vertical derivatives and from high-order pressure contributions on the interface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06202 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A geophysical free-boundary system modeling an ice-sheet interacting with an ocean Hieber, Matthias Kukavica, Igor Tuffaha, Amjad Xu, Qi Analysis of PDEs We consider a free-boundary model for the ice-sheet interacting with an ocean. The model captures the coupling between a viscous geophysical fluid and an elastic interface through kinematic and dynamic boundary conditions that account for hydrodynamic loading. Using the ALE formulation, we derive a system on a fixed reference domain and establish local-in-time a priori estimates for strong solutions with initial data in $H^2$. The main analytical difficulties arise from the nonlinear terms involving vertical derivatives and from high-order pressure contributions on the interface. |
| title | A geophysical free-boundary system modeling an ice-sheet interacting with an ocean |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.06202 |