| 等熵Chaplygin气体动力学系统的广义黎曼问题 |
| |
| 引用本文： | 周同,杜珍珍,杨汉春.等熵Chaplygin气体动力学系统的广义黎曼问题[J].昆明师范高等专科学校学报,2011(3):1-5. |
| |
| 作者姓名： | 周同 杜珍珍 杨汉春 |
| |
| 作者单位： | 云南大学数学与统计学院; |
| |
| 基金项目： | 国家自然科学基金资助项目(10961025) |
| |
| 摘 要： | 研究等熵Chap lygin气体动力学方程组的广义黎曼问题.首先,得到了该系统的柯西问题存在唯一的整体C1解;其次,在适当的初值条件下,借助特征分析方法,使用广义Rank ine-Hugon iot条件和熵条件,证明了包含δ-波的整体间断解的存在唯一性.
|
| 关 键 词： | Chaplygin气体 柯西问题 黎曼问题 广义黎曼问题 狄拉克波（δ-波） |
Generalized Riemann Problem for Isentropic Chaplygin Gas Dynamic System |
| |
| ZHOU Tong,DU Zhen-zhen,YANG Han-chun.Generalized Riemann Problem for Isentropic Chaplygin Gas Dynamic System[J].Journal of Kunming Teachers College,2011(3):1-5. |
| |
| Authors: | ZHOU Tong DU Zhen-zhen YANG Han-chun |
| |
| Institution: | ZHOU Tong,DU Zhen-zhen,YANG Han-chun(College of Mathematics and Statistics,Yunnan University,Yunnan Kunming 650091,China) |
| |
| Abstract: | Generalized Riemann problem for isentropic Chaplygin gas dynamic system is studied.Firstly,for the Cauchy problem under considered system,the global existence and uniqueness of C1 solutions is obtained.Secondly,under reasonable assumptions on initial date,with the help of characteristic analysis method,by solving generalized Rankine-Hugoniot relation and entropy condition,the global existence and uniqueness of discontinuous solutions including delta wave is established. |
| |
| Keywords: | Chaplygin gas Cauchy problem Riemann problem generalized Riemann problem Delta wave |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
