报告题目：Improvement on the rough solutions of 3D compressible Euler equations

主讲嘉宾：长沙理工大学张华丽副教授

讲座时间：2022年10月21日下午2：30

讲座地点：学院办公楼205

邀请人：何孝凯

报告摘要：For the Cauchy problem of irrotational Euler equations and incompressible Euler equations, the sharp regularity has been obtained for controlling the local existence of solutions. However, the sharp regularity problem for compressible Euler equations with non-trvial vorticity and entropy remains open. The best known 3D result is proved by Qian Wang. In this talk, we will present the recent progress by using Smith-Tataru's method. This is a joint work with Prof. Lars Andersson.

专家简介：张华丽，长沙理工大学数学与统计学院教师，硕士生导师。2016年博士毕业于复旦大学，研究方向为几何与物理中的偏微分方程。2018.11—2019年12月访问德国马普所与Mittag-Leffler研究所。主持国家自然科学基金青年项目一项，目前在SCI杂志《Journal of Hyperbolic Differential Equation》、《Journal of Differential Equation》等杂志发表论文数篇。