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发表时间:2020-09-17 阅读次数:315次
报告题目: Low regularity ill-posedness for elastic waves driven by shock formation
报 告 人:尹思露
报告人所在单位:杭州师范大学
报告日期:2020-09-17 星期四
报告时间:15:00-16:00
报告地点:Zoom会议ID: 645 736 85274, 密码: 092020
  
报告摘要:

In this talk, we generalize a classic result of Lindblad on the scalar quasilinear wave equation and we show that the Cauchy problem for 3D elastic waves, a physical quasilinear wave system with multiple wave-speeds, is ill-posed in $H^3(R^3)$. We further prove that the ill-posedness is caused by instantaneous shock formation, which is characterized by the vanishing of the inverse foliation density. The main difficulties arise from the multiple wave-speeds and its associated non-strict hyperbolicity. We design and combine a geometric approach and an algebraic approach to overcome these difficulties. This is based on joint work with Xinliang An and Haoyang Chen.

 

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本年度学院报告总序号:158

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