欧拉方程
数学
独特性
数学分析
有界函数
平面(几何)
欧拉公式
欧拉系统
半隐式欧拉法
分段
跨音速
椭圆曲线
反向欧拉法
物理
几何学
机械
空气动力学
标识
DOI:10.1142/s0219891609001873
摘要
We study the subsonic flows governed by full Euler equations in the half plane bounded below by a piecewise smooth curve asymptotically approaching the x 1 -axis. Nonconstant conditions in the far field are prescribed to ensure the real Euler flows. The Euler system is reduced to a single elliptic equation for the stream function. The existence, uniqueness, and asymptotic behaviors of the solutions for the reduced equation are established by the Schauder fixed point argument and some delicate estimates. The existence of subsonic flows for the original Euler system is proved based on the results for the reduced equation, and their asymptotic behaviors in the far field are also obtained.
科研通智能强力驱动
Strongly Powered by AbleSci AI