Lower bound of blow-up time to a fourth order parabolic equation modeling epitaxial thin film growth

Lower bound of blow-up time to a fourth order parabolic equation modeling epitaxial thin film growth
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DOI:
10.1016/j.aml.2020.106609
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发表时间:
2021
期刊:
Appl. Math. Lett.
影响因子:
--
通讯作者:
Changchun Liu;Yitong Ma;Hui Tang
Changchun Liu;Yitong Ma;Hui Tang
中科院分区:
其他
文献类型:
--
作者:
Changchun Liu;Yitong Ma;Hui Tang

文献摘要

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本文研究了一类四阶方程描述外延薄膜生长的问题。我们建立了初边值问题的爆破结果。此外,还得到了爆破时间和爆破速率的下界。
In this paper, we considered a class of fourth order equation modeling epitaxial thin film growth. We establish a blow up result for the initial and boundary value problem. Furthermore, the lower bound of the blow up time and the blow up rate are derived.