Weak Solutions for a Sixth-Order Phase-Field Equation with Degenerate Mobility

被引：3
|
作者：
Duan, Ning [1 ,2 ]
Li, Zhenbang [3 ]
Liu, Fengnan [4 ]
机构：
[1] Jiangnan Univ, Sch Internet Things Engn, Wuxi 214122, Jiangsu, Peoples R China
[2] Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China
[3] Xian Univ Technol, Sch Sci, Xian 710048, Peoples R China
[4] Dalian Univ Technol, Sch Math & Phys Sci, Panjin 124221, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 02期
基金：
中国博士后科学基金;
关键词：
Sixth-order phase-field equation; Degenerate mobility; Weak solution; Existence; Galerkin approximation; CAHN-HILLIARD EQUATION; EXISTENCE; MODEL;
D O I：
10.1007/s40840-019-00777-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the well posedness of a sixth-order phase-field equation with degenerate phase-dependent diffusion mobility in three-dimensional space is studied. We first define a notion of weak solutions and establish a regularized problem. Then, by considering the limits of the regularized problem, we obtain the existence of such solutions.
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页码：1857 / 1883
页数：27
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