一类3×3拟线性双曲方程组的弱间断传播（英文）  

Propagation of weak discontinuities for a kind of 3×3 quasi-linear hyperbolic equations

作　　者：葛菊 

机构地区：[1]上海大学理学院,上海200444 [2]中国石油大学(华东)理学院,山东青岛266555

出　　处：《应用数学与计算数学学报》2017年第3期334-340,共7页Communication on Applied Mathematics and Computation

基　　金：Porject supported by the National Natural Science Foundation of China(11371240,11771274);the Natural Science Foundation of Shandong Pronvince of China(ZR2015AL006)

摘　　要：在双曲型偏微分方程组理论中,弱间断传播理论是非常重要的.利用特征分解方法给出了一类3×3拟线性双曲方程组的弱间断传播理论,证明了弱间断是沿特征线传播这一结论.最后,将结果应用到多方气体的Euler方程组中.The propagation theory of weak discontinuities is very important in the theory of hyperbolic partial differential equations. In this paper, by use of the characteristic decomposition method, we give the theory of propagation of weak discontinuities for a kind of 3 x 3 quasi-linear hyperbolic systems. It is proved that the weak discontinuities spread along characteristic curves. At last, as applications, we obtain the same results for the Euler system for polytropic gas.

关 键 词：弱间断 双曲偏微分方程 特征分解 可压Euler方程组 

分 类 号：O175.27[理学—数学]