| 非强制单调哈密尔顿雅可比系统的齐次化 |
| Alternative Title | Homogenization of monotone systems of non-coercive Hamilton-Jacobi equations
|
| 王俊芳 |
| Thesis Advisor | 赵培浩
|
| 2009-06-03
|
| Degree Grantor | 兰州大学
|
| Place of Conferral | 兰州
|
| Degree Name | 硕士
|
| Keyword | 单调系统
非强制哈密尔顿-雅可比方程
Perron方法
黏性解
|
| Abstract | 本文研究了一类单调哈密尔顿-雅可比系统的齐次化问题，系统趋向于齐次化系统。齐次化系统是建立在细胞问题的逼近基础之上的，即极限问题中哈密尔顿算子 的存在性是通过细胞问题解决的.同时我们证明了振荡系统的解一致收敛于齐次化系统的解. |
| Other Abstract | In this paper, we study homogenization for a class of monotone systems of Hamilton-Jacobi equations , the system converges to the homogenized system. The limit system (homogenized system) is based on the ergodic approximation of the cell problem. That is, the existence of the hamiltonians of the limit problem are characterized by appropriate cell problems. We prove that the solution of oscillating system converges uniformly to the solution of homogenized system. |
| URL | 查看原文
|
| Language | 中文
|
| Document Type | 学位论文
|
| Identifier | https://ir.lzu.edu.cn/handle/262010/225460
|
| Collection | 数学与统计学院
|
Recommended Citation
GB/T 7714 |
王俊芳. 非强制单调哈密尔顿雅可比系统的齐次化[D]. 兰州. 兰州大学,2009.
|
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
