| 二元混合物中的热传导方程Phragmén-Lindelöf二择性 |
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| 引用本文： | 李远飞,陈雪姣,石金诚.二元混合物中的热传导方程Phragmén-Lindel?f二择性[J].山东大学学报(理学版),2020,55(12):1-12. |
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| 作者姓名： | 李远飞 陈雪姣 石金诚 |
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| 作者单位： | 广东财经大学华商学院数据科学学院,广东 广州511300;广东财经大学华商学院数据科学学院,广东 广州511300;广东财经大学华商学院数据科学学院,广东 广州511300 |
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| 基金项目： | 广东省普通高校重点资助项目(2019KZDXM042) |
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| 摘 要： | 考虑定义在一个半无穷柱体上二元混合物中的热传导方程,其中柱体的母线平行于坐标轴。假设方程在柱体的侧面上满足非齐次Neumann边界条件,在柱体的有限端满足非线性条件,运用能量估计的方法,得到了方程的Phragmén-Lindelöf二择性结果。在衰减的情形下,为了使结果有意义,建立全能量的上界。
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| 关 键 词： | 热量方程 Phragmén-Lindelöf二择一 能量估计 非齐次Neumann边界条件 |
Phragmén-Lindelof alternative for the heat conduction equations in a binary mixture |
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| LI Yuan-fei,CHEN Xue-jiao,SHI Jin-cheng.Phragmén-Lindelof alternative for the heat conduction equations in a binary mixture[J].Journal of Shandong University,2020,55(12):1-12. |
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| Authors: | LI Yuan-fei CHEN Xue-jiao SHI Jin-cheng |
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| Institution: | School of Data Science, Huashang College Guangdong University of Finance &Economics, Guangzhou 511300, Guangdong, China |
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| Abstract: | The heat conduction equations in a binary mixture which are defined in a semi-infinite cylinder is considered and the generatrix of the cylinder is parallel to the coordinate axis. Assuming that the equations satisfy the nonhomogeneous Neumann boundary conditions on the lateral surface of the cylinder and the nonlinear conditions on the finite end of the cylinder, the method of energy estimation is used to obtain the Phragmén-Lindelöf alternative results of the equations. In the case of decay, in order to make the results meaningful, the upper bound of total energy is established. |
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| Keywords: | heat equation Phragmén-Lindelö f alternative energy estimate nonhomogeneous Neumann boundary condition |
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