Global existence vs. blowup for the one dimensional quasilinear Smoluchowski-Poisson system
Analysis of PDEs
2010-02-08 v1
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.
Keywords
Cite
@article{arxiv.1002.1279,
title = {Global existence vs. blowup for the one dimensional quasilinear Smoluchowski-Poisson system},
author = {Tomasz Cieslak and Philippe Laurencot},
journal= {arXiv preprint arXiv:1002.1279},
year = {2010}
}