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Singular Solutions and Pattern Formation in Aggregation Swarming Models

Hui Sun
University of California, San Diego


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.

Tuesday, December 1, 2015
11:00AM AP&M 2402