Kinetic FRG Young Researchers Workshop
March 2-5, 2009
CSIC Building (#406),
Seminar Room 4122.
Directions: home.cscamm.umd.edu/directions
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Nonlocal Aggregation Models
Dr. Gaël Raoul
CMLA – Ecole Normale Superieure de Cachan
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Abstract: We consider a nonlocal aggregation model , where G is an interaction kernel and V a external potential applied to the system. If G and V are smooth, steady-states are generically sums of Dirac masses. We give necessary and sufficient conditions for a given steady-state to be locally stable. We also investigate the case of an integration kernel which is singular (and repulsive) at 0. Then, the solution behaves more like diffusion.
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