THE REGULARITY OF A DEGENERATE GOURSAT PROBLEM FOR THE 2-D ISOTHERMAL EULER EQUATIONS

被引：2
|
作者：
Hu, Yanbo [1 ]
Li, Tong [2 ]
机构：
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 311121, Zhejiang, Peoples R China
[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2019年 / 18卷 / 06期
关键词：
Compressible Euler equations; semi-hyperbolic patch; degenerate Goursat problem; sonic curve; characteristic decomposition; SEMI-HYPERBOLIC PATCHES; TRIPLE POINT PARADOX; TRANSONIC SHOCK; RAREFACTION WAVES; SONIC LINES;
D O I：
10.3934/cpaa.2019149
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the regularity of solution and of sonic boundary to a degenerate Goursat problem originated from the two-dimensional Riemann problem of the compressible isothermal Euler equations. By using the ideas of characteristic decomposition and the bootstrap method, we show that the solution is uniformly C-1,C-1/6 up to the degenerate sonic boundary and that the sonic curve is C-1,C-1/6.
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页码：3317 / 3336
页数：20
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