ROBUST EXPONENTIAL ATTRACTORS FOR SINGULARLY PERTURBED PHASE-FIELD TYPE EQUATIONS

被引：0
|
作者：
Miranville, Alain [1 ]
Zelik, Sergey [1 ]
机构：
[1] Lab Applicat Math SP2MI, F-86962 Futuroscope, France
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2002年
关键词：
Phase-field equations; exponential attractors; upper and lower semicontinuity;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we construct robust (i.e. lower and upper semicontinuous) exponential attractors for singularly perturbed phase-field type equations. Moreover, we obtain estimates for the symmetric distance between these exponential attractors and that of the limit Cahn-Hilliard equation in terms of the perturbation parameter. We can note that the continuity is obtained without time shifts as it is the case in previous results.
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页数：28
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