1210.1664 (M. Escobedo et al.)

On the blow up of supercritical solution of the Nordheim equation for
bosons    [PDF]

M. Escobedo, J. J. L. Velázquez

In this paper we prove that the solution of the isotropic, spatially homogeneous Nordheim equation for bosons, for which the initial data have values of particle density and energy density in the portion of the phase space where Bose-Einstein condensation takes place, cannot be classical solutions globally in time. Therefore, blow-up in finite time in the supremum norm takes place for this class of initial data.

View original: http://arxiv.org/abs/1210.1664