Regularity of Solutions of the Cahn-Hilliard Equation with Non-constant Mobility

被引：0

作者：

Chang Chun LIU Department of MathematicsJilin UniversityChangchun PRChinaYuan Wei QI Department of MathematicsUniversity of CaliforniaSanta BarbaraCA USAJing Xue YIN Department of MathematicsJilin UniversityChangchun PRChina ^{[130012
,93106
,130012
]}

机构：

来源：

Acta Mathematica Sinica(English Series) | 2006年 / 22卷 / 04期

关键词：

Cahn-Hilliard equation; regularity; Schauder estimates;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

<正> In this paper,we study the regularity of solutions for two-dimensional Cahn-Hilliardequation with non-constant mobility.Basing on the Lp type estimates and Schauder type estimates,we prove the global existence of classical solutions.

引用

页码：1139 / 1150

页数：12

共 11 条

[1]

Dimension of Maximal Attractors for the m –dimensional Cahn–Hilliard System[J] . Wei Nian Zhang.Acta Mathematica Sinica, English Series . 2005 (6)

[2]

Maximal Attractors for the m -Dimensional Cahn-HilliardSystem[J] . Wei Nian Zhang.Acta Mathematica Sinica, English Series . 2004 (2)

[3]

Regularity of solutions of the Cahn–Hilliard equation with concentration dependent mobility[J] . Yin Jingxue,Liu Changchun.Nonlinear Analysis . 2001 (5)

[4]

A singular limit for a system of degenerate Cahn-Hilliard equations[J] . Harald Garcke,Amy Novick-Cohen.Advances in Differential Equations . 2000 (4-6)

[5] Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility [J].

Barrett, JW ;

Blowey, JF .

MATHEMATICS OF COMPUTATION, 1999, 68 (226) :487-517

[6] Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation [J].

Witelski, TP .

APPLIED MATHEMATICS LETTERS, 1998, 11 (05) :127-133

[7] Global asymptotic limit of solutions of the Cahn-Hilliard equation [J].

Chen, XF .

JOURNAL OF DIFFERENTIAL GEOMETRY, 1996, 44 (02) :262-311

[8]

Finite speed of propagation and continuity of the interface for thin viscous flows[J] . Francisco Bernis.Advances in Differential Equations . 1996 (3)

[9] ON THE CAHN-HILLIARD EQUATION [J].

ELLIOTT, CM ;

ZHENG, SM .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1986, 96 (04) :339-357

[10] ON THE PARTIAL REGULARITY OF WEAK SOLUTIONS OF NON-LINEAR PARABOLIC-SYSTEMS [J].

GIAQUINTA, M ;

STRUWE, M .

MATHEMATISCHE ZEITSCHRIFT, 1982, 179 (04) :437-451

← 1 2 →