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arXiv · 0810.3367

Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system

Tomasz Cieślak·Philippe Laurençot
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Abstract

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.

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Tomasz Cieślak, Philippe Laurençot. 2008-10-19. Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system. https://arxiv.org/abs/0810.3367

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