Stability of Shock Waves Under Spatially Periodic Perturbations for Scalar Conservation Laws
Time: 2021-04-07
Published By: He Liu
Speaker(s): Qian YUAN（AMSS, CAS）
Time: 15:00-16:00 April 13, 2021
Venue: Room 9, Quan Zhai, BICMR
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.
