兰州大学机构库 >数学与统计学院
非强制单调哈密尔顿雅可比系统的齐次化
Alternative TitleHomogenization 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 AbstractIn 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
Identifierhttps://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.
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