Supersonic-sonic solutions for the two-dimensional steady Euler equations

发布时间:2025-12-06浏览次数:10

报告人:胡燕波(浙江科技大学)

时间:12月10日15:10-15:50

地点:36-507

摘要:In this talk, I will introduce some recent results on the study of the supersonic-sonic structures for the two-dimensional steady Euler equations. Given a space-like curve (streamline or shock wave curve) in the plane with sonic at an extreme point and supersonic on the rest, we construct a piece of sonic curve starting 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 solution up to the sonic curve are discussed.

报告人简介:胡燕波,浙江科技大学教授、博士生导师,主要研究可压缩流体力学方程组的数学理论,在ARMA、Math. Ann.、JLMS、SIAM、CVPDE、JDE等期刊发表论文60多篇,曾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,入选浙江省高校中青年学科带头人、杭州市131人才等,主持国家自然科学基金面上和青年项目、浙江省自然科学基金项目多项。