Geodesic
On a conserved Penrose-Fife type system
Applications of Mathematics, Tome 50 (2005) no. 5, pp. 465-499

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We deal with a class of Penrose-Fife type phase field models for phase transitions, where the phase dynamics is ruled by a Cahn-Hilliard type equation. Suitable assumptions on the behaviour of the heat flux as the absolute temperature tends to zero and to $+\infty $ are considered. An existence result is obtained by a double approximation procedure and compactness methods. Moreover, uniqueness and regularity results are proved as well.
DOI : 10.1007/s10492-005-0033-z
Classification : 35B45, 35D05, 35G30, 35K60, 80A22
Keywords: Penrose-Fife model; Cahn-Hilliard equation; heat flux law 
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Gilardi, Gianni; Marson, Andrea. On a conserved Penrose-Fife type system. Applications of Mathematics, Tome 50 (2005) no. 5, pp. 465-499. doi: 10.1007/s10492-005-0033-z

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