On a conserved penrose-fife type system

被引：0

作者：

Gilardi G. ^{[1
]}

Marson A. ^{[2
]}

机构：

[1] Dipartimento di Matematica F. Casorati, Universita di Pavia, Pavia 271 00

[2] Dipartimento di Matematica Pura Ed Applicata, Universita di Padova, Padova 351 31

来源：

Applications of Mathematics | 2005年 / 50卷 / 5期

关键词：

Cahn-Hilliard equation; heat flux law; Penrose-Fife model;

D O I：

10.1007/s10492-005-0033-z

中图分类号：

学科分类号：

摘要：

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 +∞ are considered. An existence result is obtained by a double approximation procedure and compactness methods. Moreover, uniqueness and regularity results are proved as well. © 2005 Mathematical Institute, Academy of Sciences of Czech Republic.

引用

页码：465 / 499

页数：34

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