Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 39, Issue 11, Pages 2787-2798Publisher
WILEY
DOI: 10.1002/mma.3728
Keywords
blow-up time; nonlinear parabolic systems; lower bounds; chemotaxis; nonlinear cross-diffusion
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Funding
- Sardinia Regional Government
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This paper dealswith a parabolic-parabolic Keller-Segel-type systemin a bounded domain of R-N, {N = 2; 3}, under different boundary conditions, with time-dependent coefficients and a positive source term. The solutions may blowup in finite time t *: and under appropriate assumptions on data, explicit lower bounds for blow-up time are obtained when blow up occurs. Copyright (C) 2015 JohnWiley & Sons, Ltd.
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