A blow-up result for the chemotaxis system with nonlinear signal production and logistic source
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Publication:2033585
DOI10.3934/dcdsb.2020194zbMath1467.92044OpenAlexW3035393435MaRDI QIDQ2033585
Pan Dai, Guangyu Xu, Hong Yi, Chun-Lai Mu
Publication date: 17 June 2021
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2020194
Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Initial value problems for second-order parabolic equations (35K15) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)
Related Items (10)
Finite-time blow-up of solution for a chemotaxis model with singular sensitivity and logistic source ⋮ Finite time blow-up in a parabolic-elliptic Keller-Segel system with flux dependent chemotactic coefficient ⋮ Emergence of large densities in a chemotaxis system with signaling loops, nonlinear signal productions and competitions sources under nonradial symmetry case ⋮ Properties of given and detected unbounded solutions to a class of chemotaxis models ⋮ Global dynamics in a chemotaxis system involving nonlinear indirect signal secretion and logistic source ⋮ Dynamic behavior analysis to a generalized chemotaxis-consumption system ⋮ Global boundedness for a chemotaxis system involving nonlinear indirect consumption mechanism ⋮ Boundedness and finite-time blow-up in a quasilinear parabolic-elliptic chemotaxis system with logistic source and nonlinear production ⋮ Finite-time blow-up in a quasilinear degenerate parabolic-elliptic chemotaxis system with logistic source and nonlinear production ⋮ Global weak solution in a p-Laplacian Keller–Segel system with nonlinear sensitivity and saturation effect
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