  This paper proves the local-in-time strong well-posedness of a
parabolic-hyperbolic regularized version of Hibler's sea ice model. The latter
model is the most frequently used sea ice model in climate science. Lagrangian
coordinates are employed to handle the hyperbolic terms in the balance laws.
The resulting problem is regarded as a quasilinear non-autonomous evolution
equation. Maximal $\mathrm{L}^p$-regularity of the underlying linearized
problem is obtained on an anisotropic ground space in order to deal with the
lack of regularization in the balance laws.
