%0 Journal Article
%T Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system
%A Tomasz Cie£żlak
%A Philippe Lauren£żot
%J Mathematics
%D 2008
%I arXiv
%X Finite time blow-up is shown to occur for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system provided that the mass of the initial condition exceeds an explicit threshold. In the supercritical case, blow-up is shown to take place for any positive mass. The proof relies on a novel identity of virial type.
%U http://arxiv.org/abs/0810.3367v1