| 一类具有激波层现象的二次Dirichlet问题 |
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| 引用本文： | 史娟荣,刘树德. 一类具有激波层现象的二次Dirichlet问题[J]. 安徽理工大学学报(自然科学版), 2012, 0(1): 22-25 |
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| 作者姓名： | 史娟荣 刘树德 |
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| 作者单位： | 安徽机电职业技术学院;安徽师范大学数学计算机科学学院 |
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| 基金项目： | 教育部科学技术研究重点资助项目(207047) |
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| 摘 要： | 为了在较弱的条件下研究一类具有内激波层现象的二次Dirichlet问题.用合成展开法构造出该问题的一阶渐近表达式,并利用不动点定理证明了解的存在性及其当ε→0时的渐近性质。在一定程度上,它比起传统的微分不等式方法放宽了对所提问题的条件限制。
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| 关 键 词： | 激波层 二次Dirichlet 合成展开法 不动点定理 |
The Quadratic Dirichlet Problem with Shock Layer Phenomena |
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| SHI Juan-rong,LIU Shu-de. The Quadratic Dirichlet Problem with Shock Layer Phenomena[J]. Journal of Anhui University of Science and Technology:Natural Science, 2012, 0(1): 22-25 |
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| Authors: | SHI Juan-rong LIU Shu-de |
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| Affiliation: | 1.Anhui Technical College of Mechanical and Electrical Engineering,Wuhu Anhui 241000,China;2.College of Mathematics and Computer Science,Anhui Normal University,Wuhu Anhui 241000,China) |
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| Abstract: | In order to study quadratic Dirichlet problem with interior shock layer phenomena under relatively weak conditions,this paper constructed a first order formal approximation of the problem using the composite expansions.And then the existence and asymptotic behavior as ε→0 of solutions are proved by virtue of the fixed point theorem.Compared to the traditional way of applying Differential Inequality,to some extent,it relaxes restrictions on conditions regarding the questions proposed. |
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| Keywords: | Shock layer quadratic Dirichlet problem methed of composite expansions fixed point theorem |
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