The Regularity of Semihyperbolic Patches Near Sonic Lines for The 2-D Euler System in Gas Dynamics
The Regularity of Semihyperbolic Patches Near Sonic Lines for The 2-D Euler System in Gas Dynamics
复制标题
气体动力学二维欧拉系统声线附近半双曲线片的正则性
DOI：
10.1137/140964382
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发表时间：
2015-06
影响因子：
2
通讯作者：
Zheng Yuxi
中科院分区：
文献类型：
--
作者：
Song Kyungwoo;Wang Qin;Zheng Yuxi
研究了二维Euler方程组的Riemann问题在声速线附近自相似解的半双曲曲面的正则性。结果表明，在半双曲曲面上直至声波边界存在整体解，且声波边界具有C^1 $-正则性.欧拉方程组解的半双曲曲面的研究是由Li和Zheng [Arch. Rational Mech. Anal.，201（2011），pp. 1069- 1096]。这种类型的解决方案出现在跨音速流翼型和Guderley反射，是常见的二维黎曼问题的数值配置。
We study the regularity of semihyperbolic patches of self-similar solutions near sonic lines to a Riemann problem for the two-dimensional (2-D) Euler system. As a result, it is verified that there exists a global solution in the semihyperbolic patch up to the sonic boundary and that the sonic boundary has $C^1$-regularity. The study of the semihyperbolic patches of solutions for the Euler system was initiated by Li and Zheng [Arch. Rational Mech. Anal., 201 (2011), pp. 1069--1096]. This type of solution appears in the transonic flow over an airfoil and Guderley reflection and is common in the numerical configurations of 2-D Riemann problems.
影响因子：
1.1
作者：
Tianyou Zhang;Yuxi Zheng
通讯作者：
Tianyou Zhang;Yuxi Zheng
DOI：
--
发表时间：
1994
期刊：
--
影响因子：
--
作者：
Ta-Tsien Li
通讯作者：
Ta-Tsien Li