题    目: On blow-up for the supercritical defocusing nonlinear scalar wave equation

报告人：邵锋  中国科学院数学与系统科学研究院

时   间：11月11日  下午4:00

地   点：五教5106

摘  要: Global regularity for supercritical defocusing wave equations is a longstanding problem in nonlinear PDEs. In this talk, I will introduce our construction of finite-time blow-up solutions to the real-valued scalar equation in dimensions four and higher, for all sufficiently large odd powers. These solutions arise from smooth, compactly supported initial data, and the construction is based on self-similar imploding solutions of the relativistic Euler equations. This is joint work with Dongyi Wei and Zhifei Zhang.