Global existence vs. blowup for the one dimensional quasilinear Smoluchowski-Poisson system

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

We prove that, unlike in several space dimensions, there is no critical
(nonlinear) diffusion coefficient for which solutions to the one dimensional
quasilinear Smoluchowski-Poisson equation with small mass exist globally while
finite time blowup could occur for solutions with large mass.

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