报告题目：Infinitely Many Solutions to the Isentropic System of Gas Dynamics

报告时间：2022-09-20  10:00 - 11:00

报告人：俞成 助理教授  University of Florida

腾讯会议ID：964-964-502  会议密码：0920

报告链接：https://meeting.tencent.com/dm/fmUQiZUHE0Ww

Abstract: In this talk, I will discuss the non-uniqueness of global weak solutions to the isentropic system of gas dynamics. In particular, I will show that for any initial data belonging to a dense subset of the energy space, there exists infinitely many global weak solutions to the isentropic Euler equations for any 1<γ≤1+2/n. The proof is based on a generalization of convex integration techniques and weak vanishing viscosity limit of the Navier-Stokes equations. This talk is based on the joint work with M. Chen and A. Vasseur.