The Expansion of a Wedge of Gas into Vacuum with Small Angle in Two-Dimensional Isothermal Flow

被引：4
作者：
Ge, Ju [1 ,2 ]
Sheng, Wancheng [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] China Univ Petr, Dept Math, Qingdao 266555, Shandong, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2016年 / 37卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Hyperbolic partial differential equation; 2D Riemann problem; Rarefaction wave; Isothermal flow; CHARACTERISTIC DECOMPOSITION; RIEMANN PROBLEM; WAVES;
D O I：
10.1007/s11401-016-0965-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the authors consider the expansion problem of a wedge of gas into vacuum for the two-dimensional Euler equations in isothermal flow. By the bootstrapping argument, they prove the global existence of the smooth solution through the direct method in the case 0 < theta <= <(theta)over bar> = arctan 1/root 2+root 5, where theta is the half angle of the wedge. Furthermore, they get the uniform C-1,C-1 estimates of the solution to the expansion problem.
引用
收藏
页码：395 / 404
页数：10
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