报告地点：行健楼学术活动室665
邀请人：许刚教授
摘要：We investigate the hypersonic limit for steady, uniform, and compressible polytropic gas passing a symmetric straight cone without attack angle. By considering Radon measure solutions on unit 2-sphere, we show that as the Mach number of the upstream flow tends to infinity, the measures associated with the weak entropy solution containing an attached conical shock ahead of the cone converge vaguely to the measures associated with a Radon measure solution to the conical hypersonic-limit flow. This justifies the high Mach number independence principle and Newtonian sine-squared pressure law for cones in the hypersonic aerodynamics.
