Finite time blow up and condensation in the Nordheim equation for bosons

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• Miguel Escobedo (University of Bilbao)
• Thursday 20 June 2013, 09:30-10:20
• MR12.

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The dynamics of the distribution of particles in the space of moments for a homogeneous, weakly interacting, quantum gas of bosons may be described by a homogeneous kinetic equation, the Nordheim equation for bosons. We show the existence of classical solutions of the homogeneous bosonic Nordheim equation that blow up in finite time. We also prove finite time condensation for a class of weak solutions of the kinetic equation.

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

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