| 一类非线性边值问题解的激波性态 |
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| 引用本文： | 唐荣荣.一类非线性边值问题解的激波性态[J].数学物理学报(A辑),2007,27(6):1059-1064. |
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| 作者姓名： | 唐荣荣 |
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| 作者单位： | 湖州师范学院理学院 湖州 |
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| 基金项目： | 国家自然科学基金;浙江省自然科学基金;上海市教委资助项目 |
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| 摘 要： | 利用激波理论和匹配原理, 在适当的条件下讨论了一类非线性方程的激波问题, 得出了其激波解及其激波位置的表示式.将其结果用于一类可压缩流体流动模型, 较简捷地得到了该模型解的激波性态.
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| 关 键 词： | 非线性 可压缩流体流动 激波 匹配原理 |
| 文章编号： | 1003-3998（2007）06-1059-06 |
| 收稿时间： | 2005-11-29 |
| 修稿时间： | 2007-09-10 |
The Shock Behavior of the Solution for a Class of Nonlinear
Boundary Value Problems |
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| Tang Rongrong.The Shock Behavior of the Solution for a Class of Nonlinear
Boundary Value Problems[J].Acta Mathematica Scientia,2007,27(6):1059-1064. |
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| Authors: | Tang Rongrong |
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| Institution: | Faculty of Science, Huzhou Teachers College, Huzhou 313000;
Division of Computational Science, E-Institute of Shanghai Universities, at SJTU, Shanghai 200240
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| Abstract: | By using the shock theory and the matching principle, under appropriate conditions, the shock problems for a class of nonlinear equations are considered. The expressions of the shock solutions and the shock locations are obtained. The result is applied to the model for a class of compressible fluid flow. And the shock behavior of the solution for the model is obtained separately. |
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| Keywords: | Nonlinear Compressible fluid flow Shock Matching principle |
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