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• W2138711501 abstract "We determine the critical blow-up exponent for a Keller–Segel-type chemotaxis model, where the chemotactic sensitivity equals some nonlinear function of the particle density. Assuming some growth conditions for the chemotactic sensitivity function we establish an a priori estimate for the solution of the problem considered and conclude the global existence and boundedness of the solution. Furthermore, we prove the existence of solutions that become unbounded in finite or infinite time in that situation where this a priori estimate fails." @default.
• W2138711501 created "2016-06-24" @default.
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• W2138711501 date "2005-08-01" @default.
• W2138711501 modified "2023-10-13" @default.
• W2138711501 title "Boundedness vs. blow-up in a chemotaxis system" @default.
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• W2138711501 doi "https://doi.org/10.1016/j.jde.2004.10.022" @default.
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