Blow‐up phenomena in chemotaxis systems with a source term |
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| Authors: | Monica Marras Stella Vernier‐Piro Giuseppe Viglialoro |
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| Institution: | 1. Dipartimento di Matematica e Informatica V.le Merello 92, 09123 Cagliari, Italy;2. Dipartimento di Matematica e Informatica Via Ospedale 72, 09124 Cagliari, Italy |
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| Abstract: | This paper deals with a parabolic–parabolic Keller–Segel‐type system in a bounded domain of  , {N = 2;3}, under different boundary conditions, with time‐dependent coefficients and a positive source term. The solutions may blow up in finite time t?; and under appropriate assumptions on data, explicit lower bounds for blow‐up time are obtained when blow up occurs. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | blow‐up time nonlinear parabolic systems lower bounds chemotaxis nonlinear cross‐diffusion |
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