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.

引用

页码：2787 / 2798

页数：12

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