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

Related News

0
The chromatic profile of a graph
AbstractDetermining the chromatic number of a graph is a difficult but important problem. Hence, it is not surprising that a variety of questions in Graph Theory concern the search for meaningful upper bounds for the chromatic number of certain families of graphs. One type of graph family that received considerable attention is that of H-free graphs, that is, the family of graphs G which do not...
1
Two generalization of the Sarkisov Program
Algebraic Geometry SeminarOrganizers：Caucher Birkar，贾甲Speaker：Yang He (BIMSA)Time：Fri., 15:30-16:30, Sept. 27, 2024Online：Zoom Meeting ID: 262 865 5007Passcode: YMSC 线下：ShuangQing B7Title：Two generalization of the Sarkisov ProgramAbstract：I will explain how to generalize the Sarkisov Program following the idea of Shokurov, and discuss some applications and computations in the surfac...