BIMSA > Waves, gravitation and geometry On the Stability of Landau's Two Shock Profile
On the Stability of Landau's Two Shock Profile
Organizers
Lars Andersson , Pieter Blue , Siyuan Ma , Pin Yu
Speaker
Ruotong Zhang
Time
Wednesday, November 27, 2024 10:00 AM - 12:00 PM
Venue
Jingzhai-105
Online
Zoom 815 762 8413 (BIMSA)
Abstract
Landau inspected the long time behavior of spherical symmetric solution to the compressible Euler equations, arguing that there will be eventually two decaying shocks in the solution. Daniel Ginsberg and Igor Rodnianski's recent work, the Stability of Irrotational Shocks and the Landau Law of Decay, justified this picture partially. This talk is based on their work. I will introduce the model shock profile for Landau's picture and the restricted shock development problem, then formulate the stability result of Ginsberg and Rodnianski, and present the outline of their proof.