報告人：陳庚 教授 （University of Kansas）
會議ID：725 954 518 密碼123456
報告摘要：Compressible Euler equations (introduced by Euler in 1757) model the motion of compressile inviscid fluids such as gases. It is well-known that solutions of compressible Euler equations often develop discontinuities, i.e. shock waves. Successful theories have been established in the past 150 years for small solutions in one space dimension. The theory on large solutions is widely open for a long time, even in one space dimension. In this talk, I will discuss some recent exciting progresses on Shock formation and BV existence in this direction. The connection between our results and Riemann’s original paper in 1859 will also be mentioned.The talk is based on my joint works with A. Bressan, H.K. Jenssen, R. Pan, R. Young, Q. Zhang, and S. Zhu.