Author:
Huang Rui,Mei Ming,Yin Jingxue
Abstract
Abstract
We consider the Cahn-Hilliard equation with concentration dependent mobility in two dimensions. Global existence and uniqueness of classical solutions are established for a mobility with some delayed structure and general potential including
−
u
+
γ
u
3
for both
γ
>
0
and
γ
<
0
.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Reference19 articles.
1. Cahn JW, Hilliard JE: Free energy of a nonuniform system. I. Interfacial free energy. J. Chem. Phys. 1958, 28: 258-267. 10.1063/1.1744102
2. Schimperna G: Global attractors for Cahn-Hilliard equations with nonconstant mobility. Nonlinearity 2007, 20: 2365-2387. 10.1088/0951-7715/20/10/006
3. Yin J: On the existence of nonnegative continuous solutions of the Cahn-Hilliard equation. J. Differ. Equ. 1992, 97: 310-327. 10.1016/0022-0396(92)90075-X
4. Chevallard C, Clerca M, Coullet P, Gilli JM: Interface dynamics in liquid crystals. Eur. Phys. J. E 2000, 1: 179-188. 10.1007/PL00014597
5. Argentina M, Clerc M, Rojas R, Tirapegui E: Coarsening dynamics of the one-dimensional Cahn-Hilliard model. Phys. Rev. E 2005., 271: 10.1103/PhysRevE.71.046210
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