| Abstract: |
| This work is motivated by modelling the formation of ice fields. In the beginin of winter one can see a lot of pieces of ice floating on the sea in the north. They reach the beach and accumulate there, and
form a large ice-field. We are interested in the dynamics of such a natural phenomenon. To make a mathematical model for it we set some simplified postulations
(i) the water-ice phase change takes place with constant latent heat, $1$, in the sea and the dynamics of the phase function $u=u(x,t)$ obeys the enthalpy formulation. Moreover, the region is divided into three parts, $u\le 0$, $0< u |
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