On the Caginalp phase-field systems with two temperatures and the Maxwell-Cattaneo law

被引：7
作者：
Miranville, Alain [1 ]
Quintanilla, Ramon [2 ]
机构：
[1] Univ Poitiers, UMR CNRS 7348, SP2MI, Lab Math & Applicat, Blvd Marie & Pierre Curie,Teleport 2, F-86962 Futuroscope, France
[2] ESEIAAT UPC, Dept Matemat, Colom 11, Barcelona 08222, Spain
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 15期
关键词：
Caginalp systems; Maxwell-Cattaneo law; two temperatures; well-posedness; dissipativity; DYNAMIC BOUNDARY-CONDITIONS; LONG-TIME BEHAVIOR; CAHN-HILLIARD; CONVERGENCE; EQUATIONS; MODEL;
D O I：
10.1002/mma.3867
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our aim in this paper is to study generalizations of the nonconserved and conserved Caginalp phase-field systems based on the Maxwell-Cattaneo law with two temperatures for heat conduction. In particular, we obtain well-posedness results and study the dissipativity of the associated solution operators. Copyright (C) 2016 John Wiley & Sons, Ltd.
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收藏
页码：4385 / 4397
页数：13
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