Blow-up phenomena in chemotaxis systems with a source term

被引：25
作者：
Marras, Monica [1 ]
Vernier-Piro, Stella [2 ]
Viglialoro, Giuseppe [1 ]
机构：
[1] Dipartimento Matemat & Informat, Vle Merello 92, I-09123 Cagliari, Italy
[2] Dipartimento Matemat & Informat, Via Osped 72, I-09124 Cagliari, Italy
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 11期
关键词：
blow-up time; nonlinear parabolic systems; lower bounds; chemotaxis; nonlinear cross-diffusion; KELLER-SEGEL SYSTEM; FINITE-TIME BLOWUP; BOUNDEDNESS; MODEL;
D O I：
10.1002/mma.3728
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：2787 / 2798
页数：12
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