Mathematics – Analysis of PDEs
Scientific paper
2010-02-05
Mathematics
Analysis of PDEs
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.
Cieślak Tomasz
Laurençot Philippe
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