报告题目：On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations

报  告  人：胡燕波

工作单位：杭州师范大学

报告时间：2023-03-20  9:00-12:00

腾讯会议ID：688-224-6427

报告摘要：

In this talk, I will present a recent result on the study of the two-dimensional four-constant Riemann problem to the isentropic compressible Euler equations. A supersonic-sonic patch along a pseudo-streamline from the supersonic part to a sonic point is constructed in terms of the self-similar variables. This kind of patch appears frequently in the two-dimensional Riemann problem and is a building block for constructing a global solution. The problem is first solved by using the characteristic decomposition technique in a partial hodograph plane. Then we convert the solution from the partial hodograph variables to the self-similar variables to obtain the existence and uniform regularity of solutions to the original problem.

报告人简介：

胡燕波，杭州师范大学数学学院教授，2012年博士毕业于上海大学，主要研究方向为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等问题取得了一系列研究成果，在Arch. Ration. Mech. Anal.、 Math. Ann.、SIAM J. Math. Anal.、J. Differential Equations等国际主流数学杂志发表论文50余篇，主持国家级项目（面上和青年）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。