Finite speed of propagation for the Cahn-Hilliard equation with degenerate mobility

被引：0

作者：

Chen, Bosheng ^{[1
]}

Liu, Changchun ^{[1
]}

机构：

[1] Jilin Univ, Dept Math, Changchun, Jilin, Peoples R China

来源：

APPLICABLE ANALYSIS | 2021年 / 100卷 / 08期

关键词：

Ming Mei; Cahn-Hilliard equation; degenerate mobility; finite speed of propagation; WEAK SOLUTIONS; THIN; SUPPORT; TIME;

D O I：

10.1080/00036811.2019.1659957

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the Cahn-Hilliard equation with degenerate mobility. We obtain that the Cahn-Hilliard equation has the finite speed of propagation for the nonnegative strong solutions when 0<n<2.

引用

页码：1693 / 1726

页数：34

共 50 条

[1] On the Cahn-Hilliard equation with degenerate mobility
Elliott, CM
Garcke, H
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (02) : 404 - 423
[2] Finite element approximation of the Cahn-Hilliard equation with degenerate mobility
Barrett, JW
Blowey, JF
Garcke, H
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1999, 37 (01) : 286 - 318
[3] On the convective Cahn-Hilliard equation with degenerate mobility
Liu, Changchun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (01) : 124 - 144
[4] Weak Solutions for the Cahn-Hilliard Equation with Degenerate Mobility
Dai, Shibin
Du, Qiang
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2016, 219 (03) : 1161 - 1184
[5] The stochastic Cahn-Hilliard equation with degenerate mobility and logarithmic potential
Scarpa, Luca
NONLINEARITY, 2021, 34 (06) : 3813 - 3857
[6] Weak solutions for the functionalized Cahn-Hilliard equation with degenerate mobility
Dai, Shibin
Liu, Qiang
Promislow, Keith
APPLICABLE ANALYSIS, 2021, 100 (01) : 1 - 16
[7] Sharp Interface Limits of the Cahn-Hilliard Equation with Degenerate Mobility
Lee, Alpha A.
Munch, Andreas
Suli, Endre
IFAC PAPERSONLINE, 2015, 48 (01): : 401 - +
[8] EXISTENCE OF SOLUTIONS TO THE CAHN-HILLIARD/ALLEN-CAHN EQUATION WITH DEGENERATE MOBILITY
Zhang, Xiaoli
Liu, Changchun
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[9] On nonnegative solutions for the Functionalized Cahn-Hilliard equation with degenerate mobility
Dai, Shibin
Liu, Qiang
Luong, Toai
Promislow, Keith
RESULTS IN APPLIED MATHEMATICS, 2021, 12
[10] CONVERGENCE OF A ONE-DIMENSIONAL CAHN-HILLIARD EQUATION WITH DEGENERATE MOBILITY
Delgadino, Matias G.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2018, 50 (04) : 4457 - 4482

← 1 2 3 4 5 →