Blow-up for the quantum Boltzmann equation

Thursday, September 27, 2012 - 10:15am - 11:05am
Keller 3-180
Juan Velazquez (Rheinische Friedrich-Wilhelms-Universität Bonn)
The Boltzmann-Nordheim equation describes the evolution of the distribution of energies of a quantum weakly interacting many particle system. It has been conjectured in the physical literature that the solutions of the Boltzmann-Nordheim equation might blow-up in a finite time. Such blow-up is expected to be related to the dynamical formation of Bose-Einstein condensates. In this talk it will describe a large class of initial data for which it is possible to prove blow-up in finite time for the corresponding solutions of the Boltzmann-Nordheim equation.
(Joint work with M. Escobedo).
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