To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Abstract:

In this talk, we will discuss the regularity theory and long-time behavior of solutions to the Euler Alignment model, focusing on the properties of the limiting density profile, which is in general a measure.  We show that for unidirectional data, the geometric structure of the singular support of this measure, i.e., the "mass concentration" set, can be understood almost completely in terms of the initial data.