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Solutions to a multi-phase model of sea-ice growth

The multi-phase systems has found its applications in many fields. We
shall apply this approach to investigate the multi-phase dynamics of
sea-ice growth. In this paper, the weak solutions existence and
uniqueness of parabolic differential equations are proved. Then
large-time behavior of solutions are studied, also the existence of
global attractor is proved. The key tool in this article is the energy
method. Our existence proof is only in one dimension.