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期刊论文
Global Existence and Blow-up for the Solutions to Nonlinear Parabolic-Elliptic System Modelling Chemotaxis*
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In this paper we study the global in-time and blow-up solutions for the simplified Keller-Segel system modelling chemotaxis. We prove that there is a critical number which determines the occurrence of blow-up in two dimensional case for 1<p<2. In three or higher dimensional cases, we show that the radial symmetrical solution will be blow up if 1<p<N/N-2 (N≥3) for nonnegative initial value.
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