Well-Posedness of Hibler’s Dynamical Sea-Ice Model

This paper establishes the local-in-time well-posedness of solutions to an approximating system constructed by mildly regularizing dynamical sea-ice model W.D. Hibler, Journal Physical Oceanography, 1979. Our choice regularization has been carefully designed, prompted physical considerations, retain original coupled hyperbolic-parabolic character Hibler’s model. Various regularized versions this have used widely for numerical simulation circulation and thickness Arctic ice cover. However, due singularity in rheology, notion is unclear. Instead, system, which captures current study, proposed. The theory such a provides first-step groundwork both study future analytical study.