| 非线性热方程解的大时间行为 |
| |
| 引用本文： | 王晓瑞,汪文军.非线性热方程解的大时间行为[J].吉林大学学报(理学版),2016,54(2):241-245. |
| |
| 作者姓名： | 王晓瑞 汪文军 |
| |
| 作者单位： | 上海理工大学 理学院, 上海 200093 |
| |
| 摘 要： | 考虑多维空间中非线性热方程解的大时间行为, 利用先验估计并构造近似格林函数, 获得了非线性热方程解关于平面扩散波的非线性稳定性, 并得到了整体解关于时间的最优衰减率.
|
| 关 键 词： | 非线性热方程 格林函数 平面扩散波 衰减估计 |
| 收稿时间： | 2015-05-18 |
Large Time Behavior of Solutions to Nonlinear Heat Equation |
| |
| WANG Xiaorui,WANG Wenjun.Large Time Behavior of Solutions to Nonlinear Heat Equation[J].Journal of Jilin University: Sci Ed,2016,54(2):241-245. |
| |
| Authors: | WANG Xiaorui WANG Wenjun |
| |
| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
| |
| Abstract: | This paper deals with large time behavior of solutions to multi dimensional nonlinear heat equation. Using the prior estimation and constructing an approximate Green function, we proved that the planar diffusion wave was nonlinearly stable for the nonlinear heat equation. Besides, the optimal time decay rates are established. |
| |
| Keywords: | nonlinear heat equation Green function planar diffusion wave decay estimate |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
