Regularity and separation from potential barriers for a non-local phase-field system

被引：25
|
作者：
Londen, Stig-Olof [2 ]
Petzeltova, Hana [1 ]
机构：
[1] Inst Math AV CR, Prague 11567 1, Czech Republic
[2] Aalto Univ, Sch Sci & Technol, Helsinki 02015, Finland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 379卷 / 02期
关键词：
Non-local phase-field systems; Regularity of solutions; Separation property; Convergence to equilibria; CAHN-HILLIARD EQUATION; CONVERGENCE; MODEL;
D O I：
10.1016/j.jmaa.2011.02.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that solutions of a two-phase model involving a non-local interactive term become more regular immediately after the moment they separate from the pure phases. This result allows us to prove stronger convergence to equilibria. A new proof of the separation property is also given. (C) 2011 Elsevier Inc. All rights reserved.
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页码：724 / 735
页数：12
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