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Hyperbolic & Dispersive PDE Seminar

Formation of shocks for the Einstein-Euler system -- John Anderson

John Anderson - Stanford University

Location:  Hill 705
Date & time: Thursday, 02 November 2023 at 12:00PM - 1:00PM

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 where this fits into the big picture of the study of multidimensional shocks, and why it is appropriate to call this a shock formation result. Then, I will try to describe some of the main ideas that go into proving shock formation, and the main difficulty in the case of Einstein-Euler. In a nutshell, the difficulty arises from the fact that the speed of sound is less than the speed of light. In the remaining time, I will describe how this is related to shocks for other hyperbolic PDEs arising in continuum mechanics.

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