20210506 俞成 Infinitely many solutions to the isentropic system of gas dynamics

报告题目： Infinitely many solutions to the isentropic system of gas dynamics

报告人：俞成 教授（佛罗里达大学）

邀请人：熊林杰

时间：2021/5/6(周四) 上午9:00-10:00（北京时间）

地点：腾讯会议室ID：476 733 093

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.

报告人简介：俞成，男，美国佛罗里达大学数学系助理教授。2013年8月在匹兹堡大学获博士学位，主要研究流体力学方程组的数学理论，特别在弱解，熵(弱)解方面取得一系列重要研究成果，在本领域国际知名数学期刊发表论文多篇，涵盖数学顶级期刊Invent. Math., JEMS, ARMA, JMPA等。