報(bào)告人: Professor Ronghua Pan, Georgia Institute of Technology

報(bào)告時(shí)間：2016年8月10日下午3:00-4:00

報(bào)告地點(diǎn)：中關(guān)村校區(qū)中心教學(xué)樓844

報(bào)告題目: Global regularity v.s. finite time blowup for compressible Euler equations

摘要: As one of the oldest nonlinear PDE systems, the compressible Euler equations has been studied by many outstanding mathematicians. However, some basic questions, such as the global existence of classical solution v.s. finite time blowup, are still open even in one space dimension. In this lecture, we will report our recent progress in this direction, including a complete understanding on isentropic flows, and a refreshed understanding on general adiabatic flows. This lecture is based on joint works with H. Cai, G. Chen, S. Zhu, and Y. Zhu.