A new mathematical model for supercooling

Abstract

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. © 2001 Academic Press.