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• W2084476221 abstract "which has been used as a model for various phenomena, including motion of species by chemotaxis and equilibrium of self-attracting clusters. We show that, in space dimension N = 3, (S) possess radial solutions that blow-up in a finite time. The asymptotic behaviour of such solutions is analysed in detail. In particular, we obtain that the profile of any such solution consists of an imploding, smoothed-out shock wave that collapses into a Dirac mass when the singularity is formed. The differences between this type of behaviour and that known to occur for blowing-up solutions of (S) in the case N = 2 are also discussed." @default.
• W2084476221 created "2016-06-24" @default.
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• W2084476221 date "1997-11-01" @default.
• W2084476221 modified "2023-09-29" @default.
• W2084476221 title "Finite-time aggregation into a single point in a reaction - diffusion system" @default.
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• W2084476221 doi "https://doi.org/10.1088/0951-7715/10/6/016" @default.
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