Stable stationary states for repulsive-attractive potentials

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• Jose Antonio Carrillo (Imperial College, London)
• Tuesday 18 June 2013, 17:00-17:50
• MR12.

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In this talk we consider local minimizers (in the topology of transport distances) of the interaction energy associated to a repulsive-attractive potential. We show how the dimensionality of the support of local minimizers is related to the repulsive strength of the potential at the origin. This is related to pattern formation in some simple models of collective behavior.

This talk is part of the Conference on Mathematical Topics in Kinetic Theory series.

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