2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171902Finite 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.Analysis of PDEstext