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In this paper we prove that the solutions of the isotropic, spatiallyhomogeneous Nordheim equation for bosons, with bounded initial, data blow up infinite time in the $L^\infty$ norm if the values of the energy and particledensity are in the range of values where the corresponding equilibria containsa Dirac mass. We also prove that, in the weak solutions, whose initial data aremeasures with values of particle and energy densities satisfying the previouscondition, a Dirac measure at the origin forms in finite time.

On the blow up and condensation of supercritical solution of the Nordheim equation for bosons