Abstract
In this paper we show that there exist radial solutions of the Keller-Segel system with porous medium like diffusion and critical exponents that blow up in a self-similar manner with a continuous range of masses. The situation is very different from the one that takes place for the usual Keller-Segel system with semilinear diffusion, that for critical nonlinearities yields blow up with a discrete set of values for the mass.
Citation
Y. Sugiyama. J.J.L. Velázquez. "Self-similar blow up with a continuous range of values of the aggregated mass for a degenerate Keller-Segel system." Adv. Differential Equations 16 (1/2) 85 - 112, January/February 2011. https://doi.org/10.57262/ade/1355854331
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