Smooth transonic flows in de Laval nozzles
发布人: 曹思圆   发布时间: 2019-12-13   浏览次数: 57

报告人:王春朋教授(吉林大学)

主持人:周风教授

报告时间/地点:2019年12月13日13:00-14:00 数学楼102报告厅

主办单位:数学科学学院 科技处


报告摘要: In this talk, we introduce recent joint works with Professor Zhouping Xin on smooth transonic flows in two dimensional de Laval nozzles. We consider smooth transonic potential flows whose sonic points are all exceptional. For such a smooth transonic flow, its sonic curve must be located at the throat of the nozzle and the flow is governed by a quasilinear elliptic-hyperbolic mixed type equation with degeneracy at the sonic state. It is shown that the existence of such a smooth transonic flow is determined by the geometry and the height of the nozzle at the throat.


报告人简介:王春朋,吉林大学数学学院教授、博士生导师,国家杰出青年科学基金获得者、教育部新世纪优秀人才、吉林省长白山学者特聘教授、全国百篇优秀博士学位论文奖获得者。从事偏微分方程领域的研究,近年来围绕可压流体的跨音速流动理论,研究包含音速状态的流体流动模型以及非线性奇异偏微分方程的定性理论。多次应邀到香港中文大学、香港城市大学和意大利ICTP研究中心做学术访问。合作出版中文专著和英文专著各一部,发表学术论文近60余篇。