Invariant Measures for a Kinetic Equation Modelling Schooling of Fish

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• Maria Carvalho (University of Porto Rua do Campo Alegre)
• Thursday 20 June 2013, 11:40-12:30
• MR12.

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We study a Boltzmann type equation for densities on the unit circle arising from a binary interaction model for schooling of fish. The uniform density is always invariant, but in certain parameter ranges, it is not stable. We construct non-uniform invariant densities and study their stability. This is joint work with E. Carlen, P.Degond and B. Wennberg.

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

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