报告人:沈燕南(University of Kansas)
邀请人:李骥
报告时间:2021年6月10日(星期四)10:00-11:30
报告地点: 腾讯会议:848 816 719
报告题目:Regularity of a family of 1D quasilinear wave
报告摘要:In this talk, we consider the global well-posedness of energy conservative Holder continuous weak solution to a general quasilinear wave equation. We will start from a family of equations that support unitary directional waves and explore the formation of different singularities. We will use Novikov equation as an example to construct a Finsler type optimal transport metric, and prove that the singular solution is Lipschitz under this metric. Finally, we will extend the frame work to a general quasilinear wave equation.