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Ronghua Pan, Georgia Institute of Technology, Global regularity v.s. finite time blowup for compressible Euler equations
October 11, 2017 | 3:00 pm - 4:00 pm EDT
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.