学术活动
On Multi-Dimensional Sonic-Subsonic Flow
2011-03-22
来源:科技处 点击次数:主讲人:黄飞敏 教授(中科院)
时 间: 3月22日(周二)16:30-17:30
地 点:数学科学学院 412教室
备 注:Abstract: In this paper, a compensated compactness framework is established for sonic-subsonic approximate solutions to the n-dimensional($n\ge 2$) Euler equations for steady irrotational flow that may contain stagnation points. This compactness framework holds provided that the approximate solutions are uniformly bounded and satisfy $H^{-1}_{loc}$ compactness conditions. As illustration, we show the existence of sonic-subsonic weak solution to n-dimensional($n\ge 2$) Euler equations for steady irrotational flow past obstacles or through an infinitely long nozzle. This is the first result concerning the sonic-subsonic limit for n-dimension($n\ge 3$).