Asymptotic limits of viscous Cahn-Hilliard equation with homogeneous Dirichlet boundary condition
Asymptotic limits of viscous Cahn-Hilliard equation with homogeneous Dirichlet boundary condition
复制标题
齐次Dirichlet边界条件的粘性Cahn-Hilliard方程的渐近极限
DOI：
10.1016/j.jmaa.2022.126106
复制
发表时间：
2022
影响因子：
1.3
通讯作者：
Mitsuharu \^Otani
中科院分区：
文献类型：
--
作者：
Keiichiro Kagawa;Mitsuharu \^Otani
本文研究粘性Cahn-Hilliard方程在参数趋于零时解的渐近性态。也就是说，它示出的粘性Cahn-Hilliard方程的解决方案收敛到的Allen-Cahn方程，Cahn-Hilliard方程，和粘性扩散方程的解决方案，当适当的参数趋于零。与已有的结果相比，我们的方法可以处理更宽范围的化学势。
In this paper, we are concerned with the asymptotic behavior of solutions for the viscous Cahn–Hilliard equations when parameters involved in the equations tend to zero. Namely, it is shown that solutions of the viscous Cahn–Hilliard equations converge to solutions of the Allen–Cahn equation, the Cahn–Hilliard equation, and the viscous diffusion equation, when suitable parameters tend to zero. Compared with the existing results, a much wider range of chemical potentials can be treated within our setting.