Optimal decay rate of solutions for Cahn–Hilliard equation with inertial term in multi-dimensions
Optimal decay rate of solutions for Cahn–Hilliard equation with inertial term in multi-dimensions
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DOI：
10.1016/j.jmaa.2011.09.016
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发表时间：
2012-03
影响因子：
1.3
通讯作者：
Weike Wang;Zhigang Wu
中科院分区：
文献类型：
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作者：
Weike Wang;Zhigang Wu
研究了含惯性项的Cahn-Hilliard方程的Cauchy问题。基于格林函数法和能量估计，我们得到了解的全局实时存在性和最优衰减率。此外，最后一节还研究了粘性情况。
The Cauchy problem of the Cahn–Hilliard equation with inertial term is considered. Based on Greenʼs function method together with energy estimates, we get the global-in-time existence and optimal decay rate of solutions. Furthermore, the viscous case is investigated in the last section.