Asymptotic behavior of a sixth-order Cahn-Hilliard system

被引：23
|
作者：
Miranville, Alain [1 ]
机构：
[1] Univ Poitiers, Lab Math & Applicat, CNRS, UMR 7348,SP2MI, F-86962 Futuroscope, France
来源：
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2014年 / 12卷 / 01期
关键词：
Sixth-order Cahn-Hilliard system; Dissipativity; Global attractor; Exponential attractor; TERNARY AMPHIPHILIC SYSTEMS; FINITE-DIFFERENCE SCHEME; FIELD CRYSTAL EQUATION; GINZBURG-LANDAU THEORY; EXPONENTIAL ATTRACTORS; DIFFUSION; ENERGY; FLUCTUATIONS;
D O I：
10.2478/s11533-013-0322-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Our aim in this paper is to study the asymptotic behavior, in terms of finite-dimensional attractors, of a sixth-order Cahn-Hilliard system. This system is based on a modification of the Ginzburg-Landau free energy proposed in [Torabi S., Lowengrub J., Voigt A., Wise S., A new phase-field model for strongly anisotropic systems, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 2009, 465(2105), 1337-1359], assuming isotropy.
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页码：141 / 154
页数：14
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