Analytical and Numerical Methods in Aggregation Swarming Models

Dr. Hui Sun
Department of Mathematics


In this talk we present some recent results on aggregation swarming models in two dimensions. This class of models involve pairwise interactions and an active scalar equation in the continuum limit. We show the connection between this model and the classical vorticity equation from fluid dynamics. The aggregation model can lead to a rich family of patterns. We discuss analytical and numerical methods for curve and cluster patterns.