活动时间：2022-05-26 15:00

活动地点：腾讯会议 298 935 091

主讲人：袁海荣

主讲人中文简介：

袁海荣教授2001年本科毕业于复旦大学数学系，2006年获复旦大学博士学位，师从陈恕行院士，现任华东师范大学教授、博士生导师，主要从事激波及双曲守恒律方程的分析理论研究，曾访问英国牛津大学等知名学术机构，主持多项国家自然科学基金项目。

活动内容摘要：

For stationary hypersonic-limit Euler flows passing a  solid body in three-dimensional space, the shock-front coincides with the upwind surface of the body, hence there is an infinite-thin layer of concentrated mass, in which all particles hitting the body move along its upwind surface. By proposing a concept of Radon measure solutions of boundary value problems of the multi-dimensional compressible Euler equations, which incorporates the large-scale of three-dimensional distributions of upcoming hypersonic flows and the small-scale of particles moving on two-dimensional surfaces,  we derive the compressible Euler equations for flows in concentration layers, which is a stationary pressureless compressible Euler system with source terms and independent variables on curved surface. As a by-product, we obtain a formula for pressure distribution on surfaces of general obstacles in hypersonic flows, which is a generalization of the classical Newton-Busemann law for drag/lift in hypersonic aerodynamics.

主持人：查冬兵