Global boundedness of radial solutions to a parabolic-elliptic chemotaxis system with flux limitation and nonlinear signal production

DOI10.3934/cpaa.2021133zbMath1479.35121OpenAlexW3187441212MaRDI QIDQ2054189

Shuyan Qiu, Lu Xu, Hong Yi, Chun-Lai Mu

Publication date: 1 December 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021133

zbMATH Keywords

flux limitationgradient blow-upno-flux boundary conditionsdegenerate chemotaxis system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Cell movement (chemotaxis, etc.) (92C17) Growth, boundedness, comparison of solutions to difference equations (39A22) Comparison principles in context of PDEs (35B51)

Related Items (3)

On effects of the nonlinear signal production to the boundedness and finite-time blow-up in a flux-limited chemotaxis model ⋮ Finite time blow-up in a parabolic-elliptic Keller-Segel system with flux dependent chemotactic coefficient ⋮ Global existence for a class of non-equilibrium reaction-diffusion systems with flux limitation

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