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.
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.
出处
《昆明学院学报》
2011年第3期1-5,共5页
Journal of Kunming University
基金
国家自然科学基金资助项目(10961025)
