报告题目：Supersonic-sonic solutions for the two-dimensional steady full Euler equations

报告人：胡燕波教授，浙江科技大学

报告时间：2024年5月28日（周二）14:30-15:30

报告地点：20-200

报告摘要：In this talk, I will introduce a recent result on the study of the supersonic-sonic structures for the two-dimensional steady full Euler equations. Given a space-like curve in the plane with sonic at an extreme point and supersonic on the rest, we construct a piece of sonic curve stating from the sonic extreme point and establish the existence of smooth supersonic-sonic solutions near the sonic extreme point. The regularity of the sonic curve and the uniform regularity of the solutions up to the sonic curve are discussed. 

报告人简介：胡燕波，浙江科技大学教授，2012年博士毕业于上海大学，主要研究可压缩流体力学方程组的数学理论，对高维欧拉方程组的跨声速结构、非线性波方程的柯西问题等取得了一系列研究成果，在Arch. Ration. Mech. Anal.、 Math. Ann.、SIAM J. Math. Anal.、J. Differential Equations、Canadian J. Math.、Nonlinearity等国际数学期刊发表论文60余篇，主持国家级项目2项、省部级项目4项，获浙江省自然科学三等奖和浙江省数学会科研成果二等奖各1项，入选浙江省高校中青年学科带头人、杭州市131人才等。