| 二维零压气体动力学系统的黎曼问题-3J情形 |
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| 引用本文： | 程红军,童艳春,杨汉春. 二维零压气体动力学系统的黎曼问题-3J情形[J]. 纯粹数学与应用数学, 2008, 24(3) |
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| 作者姓名： | 程红军 童艳春 杨汉春 |
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| 作者单位： | 云南大学数学系,云南昆明,650091;云南大学滇池学院,云南昆明,650228;云南大学数学系,云南昆明,650091 |
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| 基金项目： | 国家自然科学基金，云南大学校科研和教改项目 |
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| 摘 要： | 研究二维零压气体动力学系统带有三片常数的黎曼问题.对外波为3J的情形,借助特征分析方法,通过研究基本波的相互作用,构造了两种不同的显式解结构,一种出现了δ-激波,另一种则包含一个三角形真空区域.
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| 关 键 词： | 二维零压气体动力学系统 黎曼问题 δ-激波 广义 Rankine-Hugoniot 条件 熵条件 |
Two-dimensional Riemann problem for zero-pressure gas dynamics-three J cases |
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| CHENG Hong-jun,TONG Yan-chun,YANG Han-chun. Two-dimensional Riemann problem for zero-pressure gas dynamics-three J cases[J]. Pure and Applied Mathematics, 2008, 24(3) |
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| Authors: | CHENG Hong-jun TONG Yan-chun YANG Han-chun |
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| Affiliation: | CHENG Hong-jun~(1,2) TONG Yan-chun~1 YANG Han-chun~1 1. Department of Mathematics,University,Kunming 650091,Yunnan,China,2. DianChi College,Yunnan University,Kunming 650228 |
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| Abstract: | The Riemann problem with three initial constants for two dimensional zero-pressure gas dynamics is considered. When the exterior waves only involve 3J, by using characteristic analysis and studying interaction of elementary waves, two kinds of different configurations of solutions are explicitly constructed, one includes a delta-shock wave and the other contains vacuum in a triangle region. |
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| Keywords: | two-dimensional zero-pressure gas dynamics Riemann problem delta shock wave generalized Rankine-Hugoniot relation entropy condition |
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