Velocity selection at large undercooling in a two-dimensional nonlocal model of solidification.

Abstract

In this paper we consider the two-dimensional symmetric model of dendritic solidification with capillary anisotropy in the limit of large undercooling. We show that capillary anisotropy is necessary to obtain steady-state solutions, and that it allows the system to select a particular value of the growth velocity. The results obtained are in complete agreement with what has been derived in the corresponding limit in the case of the boundary-layer model.