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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APA
Cieślak, T., & Laurençot, P. (2011). Global Existence vs. Blowup in a one-dimensional Smoluchowski-Poisson system. In Progress in Nonlinear Differential Equations and Their Application (Vol. 80, pp. 95–109). Springer US. https://doi.org/10.1007/978-3-0348-0075-4_6
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