二元热传导方程的Phragmén-Lindel?f型二择一结果 |
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引用本文: | 李远飞,曾鹏,陈雪姣.二元热传导方程的Phragmén-Lindel?f型二择一结果[J].应用数学和力学,2021,42(9):968-978. |
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作者姓名: | 李远飞 曾鹏 陈雪姣 |
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作者单位: | 广州华商学院 数据科学学院, 广州 511300 |
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基金项目: | 广东省普通高校创新团队项目(2020WCXTD008);广州华商学院科研团队项目(2021HSKT01) |
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摘 要: | 考虑了二元热传导方程在半无穷区域上解的渐近性质, 其中在柱体的侧面上施加局部非齐次Neumann条件.这种条件模拟了柱体侧面上的绝热材料受到局部破坏的情形.利用微分不等式技术和能量分析的方法, 得到了热传导模型的Phragmén-Lindel?f型二择一结果
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关 键 词: | 二元热传导模型 Phragmén-Lindel?f型二择一 能量分析 |
收稿时间: | 2021-01-28 |
The Phragmén-Lindel?f Type Alternative Results for Binary Heat Conduction Equations |
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Affiliation: | School of Data Science, Guangzhou Huashang College,Guangzhou 511300, P.R.China |
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Abstract: | The asymptotic behavior of the solution to the binary heat conduction equation in the semi-infinite domain was considered, in which the local non-homogeneous Neumann condition was applied to the side of the cylinder. This condition simulates the local damage of the insulation material on the side of the cylinder. By means of the differential inequality technique and the energy analysis method, the Phragmén-Lindel?f-type alternative results of the heat conduction model were obtained. |
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