20240528 罗天文 On multi-dimensional rarefaction waves

报告题目: On multi-dimensional rarefaction waves

报告人：罗天文（华南师范大学）

报告地点：2024年5月28日上午10:00-11:00数学院425教室

邀请人：张华丽

报告摘要：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.

个人简介：罗天文，华南师范大学副教授，博士毕业于香港中文大学，师从著名数学家辛周平教授。主要从事与流体、双曲守恒律相关的非线性偏微分方程的研究，在弱解的适定性、非唯一性等问题做过一系列优秀工作，比如：可压缩欧拉方程可容许有限值弱解、不可压Navier-Stokes方程分数次耗散弱解的、温度耗散的Boussinesq方程弱解的适定性与不唯一性问题等。