跨音速
超音速
欧拉方程
数学
测速仪
数学分析
非线性系统
边值问题
退化(生物学)
欧拉公式
简并能级
有界函数
反向欧拉法
物理
空气动力学
机械
生物
量子力学
生物信息学
出处
期刊:Siam Journal on Mathematical Analysis
[Society for Industrial and Applied Mathematics]
日期:2021-01-01
卷期号:53 (2): 1579-1629
被引量:8
摘要
We are concerned with the sonic-supersonic structures extracted from the transonic flow problems in gas dynamics. A local classical supersonic solution for the two-dimensional steady full Euler equations is established in an angular region bounded by the sonic curve and the characteristic curve. In order to overcome the challenges caused by the coupling of nonlinearity and degeneracy at the corner point, we develop a new iteration pattern to show the convergence of the iterative sequence generated by the Euler equations in terms of a partial hodograph coordinate system. The pattern developed here will be useful for studying the degenerate mixed-type boundary value problems for other related nonlinear hyperbolic systems.
科研通智能强力驱动
Strongly Powered by AbleSci AI