Rigorous analysis of the interaction problem of sea ice with a rigid body

TL;DR

This paper rigorously analyzes the interaction between sea ice and a rigid body using Hibler's viscous-plastic model, proving the existence and uniqueness of local strong solutions within an L^p framework.

Contribution

It introduces a decoupling approach to establish the well-posedness of the sea ice-rigid body interaction system under Hibler's model.

Findings

Existence of a unique local strong solution

Application of decoupling approach

Solution within the L^p setting

Abstract

Consider the set of equations modeling the motion of a rigid body enclosed in sea ice. Using Hibler's viscous-plastic model for describing sea ice, it is shown by a certain decoupling approach that this system admits a unique, local strong solution within the $\mathrm{L}^p$-setting.