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arXiv · 1002.1279

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

Tomasz Cieslak·Philippe Laurencot
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Abstract

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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Tomasz Cieslak, Philippe Laurencot. 2010-02-05. Global existence vs. blowup for the one dimensional quasilinear Smoluchowski-Poisson system. https://arxiv.org/abs/1002.1279

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