John Anderson (Stanford)

The APDE seminar on Monday, 3/4, will be given by John Anderson (Stanford) in-person in Evans 740, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PST. To participate, please email Federico Pasqualotto ( or Mengxuan Yang (

Title: Shock formation for the Einstein–Euler system

Abstract: In this talk, I hope to describe elements of proving a certain stable singularity formation result for the Einstein-Euler system, which is the topic of work in progress with Jonathan Luk. I’ll first describe some motivating phenomena. Then, I will describe some of the main mathematical difficulties which present themselves when studying multidimensional shocks and why it is appropriate to call this a shock formation result. Finally, I will try to describe some of the main ideas that go into mathematically understanding shock formation, and the main difficulty in the case of Einstein–Euler.