On the convective Cahn-Hilliard equation with degenerate mobility
On the convective Cahn-Hilliard equation with degenerate mobility
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DOI：
10.1016/j.jmaa.2008.02.027
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发表时间：
2008-08
影响因子：
1.3
通讯作者：
Changchun Liu
中科院分区：
文献类型：
--
作者：
Changchun Liu
在本文中，我们研究了具有简并迁移率的对流 Cahn-Hilliard 方程弱解的存在性。基于 Schauder 类型估计，我们建立了正则化问题经典解的全局存在性。在对近似解建立一些必要的统一估计后，我们证明了弱解的存在。还讨论了解的扰动的非负性和有限传播速度。
In this paper, we study the existence of weak solutions for the convective Cahn–Hilliard equation with degenerate mobility. Based on the Schauder type estimates, we establish the global existence of classical solutions for regularized problems. After establishing some necessary uniform estimates on the approximate solutions, we prove the existence of weak solutions. The nonnegativity and the finite speed of propagation of perturbations of solutions are also discussed.