Global and exponential attractors for a Caginalp type phase-field problem

被引：8
|
作者：
Bangola, Brice Doumbe [1 ]
机构：
[1] Univ Poitiers, Lab Math & Applicat, SP2MI, F-86962 Poitiers, France
来源：
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2013年 / 11卷 / 09期
关键词：
Caginalp phase-field model; Neumann boundary conditions; Well-posedness; Long time behavior of solutions; Global attractor; Exponential attractor; Spatial behavior of solutions; Semi-infinite cylinder; SYSTEM; EQUATIONS; BEHAVIOR;
D O I：
10.2478/s11533-013-0258-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We deal with a generalization of the Caginalp phase-field model associated with Neumann boundary conditions. We prove that the problem is well posed, before studying the long time behavior of solutions. We establish the existence of the global attractor, but also of exponential attractors. Finally, we study the spatial behavior of solutions in a semi-infinite cylinder, assuming that such solutions exist.
引用
收藏
页码：1651 / 1676
页数：26
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