Stationary Solutions of Quadratic Cahn-Hilliard Equation and Their Stability

被引：1
|
作者：
Frolovskaya, O. A. [1 ]
Pukhnachev, V. V. [1 ]
机构：
[1] Lavrentyev Instutute Hydrodynam SB RAS, Novosibirsk 630090, Russia
来源：
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES | 2013年 / 1561卷
关键词：
Cahn-Hilliard equation; Cauchy problem; stationary solutions; soliton; stability; INSTABILITY; CONVECTION;
D O I：
10.1063/1.4827212
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The stability of the stationary solutions of Cauchy problem for the quadratic Cahn-Hilliard equation is investigated using the Lagrange's theorem. The stability of the plane soliton is shown, and the instabilities of the axially symmetric soliton is found.
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页码：47 / 52
页数：6
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