On the Stability of Landau's Two Shock Profile

Time：Wed., 10:00-12:00 Dec. 4, 2024

Venue：Jingzhai

Organizer：Lars Andersson, Pieter Blue, Siyuan Ma and Pin Yu

Speaker：Ruotong Zhang

Waves, gravitation, and geometry

Organizers：

Lars Andersson, Pieter Blue, Siyuan Ma and Pin Yu

Speaker：

Ruotong Zhang 张若桐

Department of Mathematical Sciences, Tsinghua University

Time：

Wed., 10:00-12:00

Dec. 4, 2024

Venue：

Jingzhai (静斋) 105

Online:

Zoom 815 762 8413

Password: BIMSA

Title：

On the Stability of Landau's Two Shock Profile

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.

DATEDecember 3, 2024

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