Analysis Seminar

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The geometry of shock formation and maximal development for multi-D compressible Euler

Speaker: Steve Shkoller, UC Davis

Location: Warren Weaver Hall 1302

Date: Thursday, April 20, 2023, 11 a.m.

Synopsis:

I will describe a new geometric framework for the multidimensional Euler equations, based on Arbitrary-Lagrangian-Eulerian (ALE) coordinates associated to ``fast'' characteristic surfaces. This framework is used to construct the maximal development of smooth Cauchy data for shock formation.