讲座题目：Supersonic flow of a Chaplygin gas past a delta wing

主办单位：数理学院/三峡数学研究中心

报告专家：龙柄菘

报告时间：2025年11月1日 8:00

报告地点：L2620

报告摘要：In this talk, we will present the research progress on the problem of supersonic flow past a delta wing in a Chaplygin gas, including attached and detached shocks to the leading edge. Moreover, we focus on its application in the study of Nonweiler wing, which is a class of the simplest waveriders. Mathematically, this problem can ultimately be reduced to a boundary value problem of a degenerate elliptic equation. Using the intrinsic structure of the equation and the continuity method, we showed that the problem admits a global self-similar solution. Our results verify K\"uchemann's partial speculation on the global conical flow field structures of this type.

专家简介：龙柄菘，黄冈师范学院讲师，博士毕业于复旦大学。主要研究方向为双曲守恒律方程组的数学理论，包括三角翼超音速绕流问题及其在乘波体理论中的应用、高超音速绕流问题等。主持湖北省自然科学基金项目一项，在Sci. China Math.等期刊上已发表论文6篇。