Global Solution to the Penrose-Fife Phase Field Model with Special Heat Flux Laws
The phase field model introduced by Penrose and Fife is considered for diffusive phase transitions with non conserved order parameter. Different motivations lead to investigate the case when the heat flux is the gradient of some function of the absolute temperature ϑ behaving like 1/ϑ as ϑ approaches 0 and like -ϑ as ϑ↗ +∞. Uniqueness is proved for the solution of related initial and boundary value problems.
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