| 相对论Boltzmann方程的时间周期解 |
| |
| 引用本文： | 喻洪俊.相对论Boltzmann方程的时间周期解[J].华南师范大学学报(自然科学版),2013,45(6). |
| |
| 作者姓名： | 喻洪俊 |
| |
| 作者单位： | 1.华南师范大学数学科学学院 |
| |
| 摘 要： | 得到了周期区域上靠近稳态的相对论Boltzmann方程的时间周期解的存在性和稳定性．通过利用补偿函数和基本的能量估计，得到了线性化的相对论Boltzmann方程解的时间衰减．根据这和压缩映像原理，证明了相对论Boltzmann方程的时间周期解的存在性和稳定性．
|
| 关 键 词： | 稳定性 |
| 收稿时间： | 2013-09-24 |
Time periodic solution of the Relativistic Boltzmann Equation |
| |
| Abstract: | The existence and stability of the time periodic solution to the relativistic Boltzmann equation around the relativistic Maxwellian in the torus are obtained. The time decay of solution to the linearized relativistic Boltzmann equation is obtained by using compensating function and basic energy estimates. By this and the contraction mapping methods the existence and stablility of time periodic solution to the relativistic Boltzmann equation are shown. |
| |
| Keywords: | |
|
| 点击此处可从《华南师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《华南师范大学学报(自然科学版)》下载免费的PDF全文 |
