Explicit equilibrium solutions for the aggregation equation with power-law potentials

Despite their wide presence in various models in the study of collective behaviors, explicit swarming patterns are difficult to obtain. In this paper, special stationary solutions of the aggregation equation with power-law kernelsare constructed by inverting Fredholm integral operators or byemployin...

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Bibliographic Details
Main Authors: Carrillo, JA, Huang, Y
Format: Journal article
Language:English
Published: American Institute of Mathematical Sciences 2017