Angel Castro : Singularity formation for the fractional Euler-Alignment system in 1D

Posted by Daniel Lear , part of the Analysis and Applied Mathematics Seminar.

At

Nov. 26, 2019, 3 p.m.

In

636 SEO

Abstract

We will present a family of equations which give rise to particular solutions of the Euler-Alignment system. This system is the macroscopic version of the Cucker-Smale model which is concerned with the motion of a collection of agents. We will show that, under suitable assumptions on the initial data the solutions form singularities in finite time. Joint work with Victor Arnaiz.