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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Informal Seminar on Mathematics and Biochemistry-Biophysics (MBB)
Hui Sun
Department of Mathematics and Center for Theoretical Biological Physics
Singular Solutions and Pattern Formation in Aggregation Equations
Abstract:
In this work, we study singular solutions and pattern formation in 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 the stability of the singular patterns formed with this model.
Hosts: Li-Tien Cheng and Bo Li
October 10, 2013
2:00 PM
AP&M 5829
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