A New Mathematical Model for Supercooling

In this article we study supercooling from a macroscopic point of view by modeling the evolution of a supercooled body from its liquid state to its solid state. A first model, which would be expected to have discontinuous solutions, is regularized by introducing an intrinsic viscous dissipation. By applying the classical method of Faedo Galerkin, this regularized model is shown to have a global smooth solution, which describes the state transition of the supercooled body approximately