报告题目：The shock formation of piecewise smooth solutions for compressible Euler equations

报告人：彭文健 复旦大学数学科学学院

报告时间：2025年11月29日 下午14:00-14:40

报告地点：#腾讯会议：740254516

校内联系人：张剑桥 [email protected]

报告摘要：

In this paper, we use the $C^1$ frame to study the axisymmetric solution of 2d isentropic Euler equation with non-zero anglur speed. We first prove the lower bound estimation of density and the singularity formation condition in the $C^1$ initial data. Next, for the contacted discontinuity initial data, by using Lagrangian transformation and estimating the time-direction derivatives we prove the local existence of the solution. Based on this we derive the lower bound estimation of density and the singularity formation condition for the contacted discontinuity initial data. In this process, the sign of jump discontinuity plays a key role.

报告人简介：彭文健, 博士, 目前为复旦大学博士后。