报告人：俞成(佛罗里达大学)

时间：2022年05月18日09:00开始

腾讯会议ID：592 383 086（无密码）

摘要：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 $1<\gamma\leq 1+2/n$. 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.

简介：俞成，佛罗里达大学数学系助理教授，博士毕业于匹兹堡大学。研究方向为偏微分方程。已在 Invent. Math., J. Eur. Math. Soc., Adv. Math., Arch. Ration. Mech. Anal., J. Math. Pures Appl.等杂志上发表论文10余篇。

邀请人：穆春来 王华桥

欢迎广大师生积极参与！