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A New Mathematical Model for Supercooling

✍ Scribed by Michel Frémond; Raúl Gormaz; Jorge Alonso San Martı́n

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
202 KB
Volume
261
Category
Article
ISSN
0022-247X

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✦ Synopsis

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.

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