Time periodic solutions to Hibler's sea ice model

TL;DR

This paper proves that Hibler's sea ice model has a unique, strong time-periodic solution when subjected to small periodic forcing functions, including wind and ice growth rates.

Contribution

It establishes the existence and uniqueness of time-periodic solutions for Hibler's sea ice model under small periodic forcing.

Findings

Existence of unique strong T-periodic solutions

Applicable to periodic wind forces and ice growth rates

Results depend on smallness of forcing functions

Abstract

It is shown that the viscous-plastic Hibler sea ice model admits a unique, strong $T$-time periodic solution provided the given $T$-periodic forcing functions are small in suitable norms. This is in particular true for time periodic wind forces and time periodic ice growth rates.