A further study on the coupled Allen–Cahn/Cahn–Hilliard equations

被引:0
作者
Jiaqi Yang
Changchun Liu
机构
[1] Jilin University,Department of Mathematics
来源
Boundary Value Problems | / 2019卷
关键词
Decay estimate; Continuous dependence; Allen–Cahn/Cahn–Hilliard equations; 35M30; 35B35; 35B40;
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摘要
In this paper, we will show that solutions of the initial boundary value problem for the coupled system of Allen–Cahn/Cahn–Hilliard equations continuously depend on parameters of the system, and under some restrictions on the parameters all solutions of the initial boundary value problem for Allen–Cahn/Cahn–Hilliard equations tend to zero with an exponential rate as t→∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$t\rightarrow\infty$\end{document}.
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