测速仪
欧拉方程
超音速
欧拉公式
欧拉系统
半隐式欧拉法
数学分析
奇点
数学
公制(单位)
空格(标点符号)
反向欧拉法
应用数学
物理
计算机科学
机械
操作系统
经济
运营管理
出处
期刊:Kinetic and Related Models
[American Institute of Mathematical Sciences]
日期:2019-01-01
卷期号:12 (6): 1197-1228
被引量:10
摘要
This paper is focused on the existence of classical sonic-supersonic solutions near sonic curves for the two-dimensional pseudo-steady full Euler equations in gas dynamics. By introducing a novel set of change variables and using the idea of characteristic decomposition, the Euler system is transformed into a new system which displays a transparent singularity-regularity structure. With a choice of weighted metric space, we establish the local existence of smooth solutions for the new system by the fixed-point method. Finally, we obtain a local classical solution for the pseudo-steady full Euler equations by converting the solution from the partial hodograph variables to the original variables.
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