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
收藏
页码：2787 / 2798
页数：12
相关论文
共 50 条
  • [41] Boundedness and finite-time blow-up in a quasilinear parabolic-elliptic chemotaxis system with logistic source and nonlinear production
    Tanaka, Yuya
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 506 (02)
  • [42] Delayed blow-up for chemotaxis models with local sensing
    Burger, Martin
    Laurencot, Philippe
    Trescases, Ariane
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 103 (04): : 1596 - 1617
  • [43] On blow-up criteria for a coupled chemotaxis fluid model
    Hongyan Xie
    Caochuan Ma
    Journal of Inequalities and Applications, 2017
  • [44] A refined criterion and lower bounds for the blow-up time in a parabolic-elliptic chemotaxis system with nonlinear diffusion
    Marras, Monica
    Nishino, Teruto
    Viglialoro, Giuseppe
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 195
  • [45] Finite-time blow-up in quasilinear parabolic-elliptic chemotaxis system with nonlinear signal production
    Li, Yan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 480 (01)
  • [46] ENHANCED DISSIPATION AND BLOW-UP SUPPRESSION IN A CHEMOTAXIS-FLUID SYSTEM
    He, Siming
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023, 55 (04) : 2615 - 2643
  • [47] Blow-up phenomena in a parabolic-elliptic-elliptic attraction-repulsion chemotaxis system with superlinear logistic degradation
    Chiyo, Yutaro
    Marras, Monica
    Tanaka, Yuya
    Yokota, Tomomi
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 212
  • [48] BLOW-UP PHENOMENA FOR NONLINEAR PSEUDO-PARABOLIC EQUATIONS WITH GRADIENT TERM
    Marras, Monica
    Vernier-Piro, Stella
    Viglialoro, Giuseppe
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (06): : 2291 - 2300
  • [49] Finite-time blow-up in a two-dimensional repulsive chemotaxis-consumption system with superlinear density-dependent sensitivity
    Kohatsu, Shohei
    Sato, Hikaru
    Tanaka, Yuya
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 548 (01)
  • [50] Blow-Up Phenomena of a Cancer Invasion Model with Nonlinear Diffusion and Haptotaxis Term
    Shangerganesh, L.
    Sathishkumar, G.
    Nyamoradi, N.
    Karthikeyan, S.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (03) : 1215 - 1231
12345