应pc加拿大预测准确率杨四辈教授和耿俊教授邀请, 南京大学数学系李军教授将于2022年11月15日在线举办专题学术报告.

报告题目：On the blowup mechanism of smooth solutions to 1D quasilinear strictly hyperbolic systems

时 间：2022年11月15日(星期二)10:00;

腾讯会议 ID：698-804-010.

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 large initial data. 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 Burger's 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.

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李军教授简介:

李军，南京大学数学系教授，研究领域包括拟线性双曲型、椭圆方程及高维流体力学数学理论，解决了喷管中跨音速激波稳定性机制、高维超音速锥状激波整体稳定性等流体力学中长期关注的基本问题，相关文章发表在ARMA, CMP, SIAM, JDE等知名数学期刊。

甘肃省高校应用数学与复杂系统省级重点实验室

pc加拿大预测准确率

萃英学院

2022年11月11日