| 局部非线性边界条件下热量方程解的空间渐近性 |
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| 引用本文： | 陈雪姣,李远飞,李宗锎.局部非线性边界条件下热量方程解的空间渐近性[J].吉林大学学报(理学版),2021,59(6):1317-1325. |
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| 作者姓名： | 陈雪姣 李远飞 李宗锎 |
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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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| 摘 要： | 考虑非标准边界条件下热量方程在一个半无穷柱体上的渐近行为, 其中解在侧面的局部区域满足齐次Neumann条件, 在其他区域满足非齐次Neumann条件. 用能量分析方法得到了该方程解的空间渐近定理, 并把所得结果拓展到二元混合物中的热量方程上.
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| 关 键 词： | 热量方程 二择一 能量分析 无穷柱体 |
| 收稿时间： | 2021-04-16 |
Spatial Asymptotic Behavior of Solutions of Heat Equation under Locally Nonlinear Boundary Conditions |
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| CHEN Xuejiao,LI Yuanfei,LI Zongkai.Spatial Asymptotic Behavior of Solutions of Heat Equation under Locally Nonlinear Boundary Conditions[J].Journal of Jilin University: Sci Ed,2021,59(6):1317-1325. |
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| Authors: | CHEN Xuejiao LI Yuanfei LI Zongkai |
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| Institution: | School of Data Science, Guangzhou Huashang College, Guangzhou 511300, China |
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| Abstract: | We considered the asymptotic behavior of the heat equation on a semi infinite cylinder under nonstandard boundary conditions, where the solution satisfied the homogeneous Neumann condition in the local region on the side and the non-homogeneous Neumann condition in the other regions. Using the energy analysis method, we obtained the spatial asymptotic theorem of the solution of the equation, and extended results to the heat equation in binary mixtures. |
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| Keywords: | heat equation alternative energy analysis infinite cylinder |
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