Some models of Cahn-Hilliard equations in nonisotropic media.

被引：3
|
作者：
Miranville, A [1 ]
机构：
[1] Univ Poitiers, F-86962 Futuroscope, France
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS | 2000年 / 34卷 / 03期
关键词：
Cahn-Hilliard equation; internal microforces; deformable continuum; nonisotropic material; global attractor; exponential attractor;
D O I：
10.1051/m2an:2000155
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive in this article some models of Cahn-Hilliard equations in nonisotropic media. These models, based on constitutive equations introduced by Gurtin in [19], take the work of internal microforces and also the deformations of the material into account. We then study the existence and uniqueness of solutions and obtain the existence of finite dimensional attractors. Mathematics Subject Classification. 35A05, 35B40, 35B45.
引用
收藏
页码：539 / 554
页数：16
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