Stability of Shock Waves Under Spatially Periodic Perturbations for Scalar Conservation Laws
发布时间：2021年04月07日
浏览次数：5433
发布者: He Liu
主讲人： Qian YUAN（AMSS, CAS）
活动时间： 从 2021-04-13 15:00 到 16:00
场地： 北京国际数学研究中心，全斋全9教室
In this talk, I will show the asymptotic stability of shock waves in the L^\infty(R) space for 1-d scalar conservation laws, where the initial perturbations are periodic functions. In contrast to the localized (e.g. compactly supported) perturbations, the periodic oscillations at the far field produce a new shift for the background shock as time increases, which has different properties in inviscid and viscous cases. This is a joint work with Zhouping Xin and Yuan Yuan.
