On the blowup mechanism of smooth solutions to 1D quasilinear strictly hyperbolic systems
科研大讨论系列报告
报告题目(Title)：On the blowup mechanism of smooth solutions to 1D quasilinear strictly hyperbolic systems
报告人(Speaker)：李军 教授(南京大学数学系)
地点(Place)：后主楼1124
时间(Time)：11月10日（周五）下午3:00-4:00
邀请人(Inviter)：许孝精
报告摘要
We introduce the recent progress on the blowup mechanism of smooth solutions to 1D quasilinear strictly hyperbolic systems with a class of initial data of large variation. The component of the smooth solution along the genuinely-nonlinear direction is shown to be 1/3 Holder continuous up to the blowup time. The corresponding singularity is Burgers type and well described under the modulated coordinate. In addition, to overcome the difficulties caused by the general structure of the system, we establish the elaborate descriptions of the different characteristic directions and the global weighted energy estimates. This work is jointed with Prof. Huicheng Yin and Prof. Gang Xu.
