Extensibility criterion ruling out gradient blow-up in a quasilinear degenerate chemotaxis system with flux limitation

DOI10.1016/j.jde.2019.05.026zbMath1475.35060arXiv1903.00124OpenAlexW2963693172WikidataQ127811277 ScholiaQ127811277MaRDI QIDQ2284622

Tatsuhiko Ono, Masaaki Mizukami, Tomomi Yokota

Publication date: 15 January 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00124

zbMATH Keywords

boundednesselliptic-parabolic systemflux limitationdegenerate chemotaxis systemextensibility criterion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59)

Related Items (14)

Blow-up phenomena for a chemotaxis system with flux limitation ⋮ Conditional estimates in three-dimensional chemotaxis-Stokes systems and application to a Keller-Segel-fluid model accounting for gradient-dependent flux limitation ⋮ 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 quasilinear degenerate chemotaxis system with flux limitation ⋮ Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production ⋮ Finite time blow-up in a parabolic-elliptic Keller-Segel system with flux dependent chemotactic coefficient ⋮ A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients ⋮ Behavior in time of solutions of a Keller-Segel system with flux limitation and source term ⋮ On the existence of solutions for a parabolic‐elliptic chemotaxis model with flux limitation and logistic source ⋮ Combined effects of nonlinear diffusion and gradient-dependent flux limitation on a chemotaxis-haptotaxis model ⋮ Influence of flux limitation on large time behavior in a three-dimensional chemotaxis-Stokes system modeling coral fertilization ⋮ Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation ⋮ Keller-Segel chemotaxis models: a review ⋮ Global boundedness of radial solutions to a parabolic-elliptic chemotaxis system with flux limitation and nonlinear signal production

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