On multi-dimensional rarefaction waves

讲座题目：On multi-dimensional rarefaction waves
讲座时间 Datetime: 2024年11月22日，周五，14:30-15:30
地点 Venue: 海琴2号457
报告人Speaker: 罗天文 教授
单位 Affiliation: 华南师范大学
主持人 Host：李希宁 副教授
报告摘要 Abstract:
We study the two-dimensional acoustical rarefaction waves under the irrotational assumptions. We provide a new energy estimates without loss of derivatives. We also give a detailed geometric description of the rarefaction wave fronts. As an application, we show that the Riemann problem is structurally stable in the regime of two families of rarefaction waves. This is a joint work with Prof. Pin Yu in Tsinghua Univerisity.
报告人简介：
罗天文，教授，华南师范大学数学科学学院，博士毕业于香港中文大学。主要研究方向为高维流体力学方程。