Global existence and uniform boundedness in a fully parabolic Keller-Segel system with non-monotonic signal-dependent motility
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Publication:2689477
DOI10.1016/j.jde.2023.02.028OpenAlexW4321523770MaRDI QIDQ2689477
Publication date: 10 March 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.12196
Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (4)
Boundedness of classical solutions to a chemotaxis consumption system with signal dependent motility and logistic source ⋮ Global boundedness and asymptotic stabilization in a chemotaxis system with density-suppressed motility and nonlinear signal production ⋮ A note to the global solvability of a chemotaxis-Navier-Stokes system with density-suppressed motility ⋮ Global bounded classical solutions to a parabolic–elliptic chemotaxis model with local sensing and asymptotically unbounded motility
Cites Work
- Unnamed Item
- Unnamed Item
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities
- Model for chemotaxis
- Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility
- Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities
- Global existence of weak solutions to a signal-dependent Keller-Segel model for local sensing chemotaxis
- Logistic damping effect in chemotaxis models with density-suppressed motility
- Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing
- Global classical solutions for a class of reaction-diffusion system with density-suppressed motility
- Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions
- Global existence for a kinetic model of pattern formation with density-suppressed motilities
- Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
- Global well-posedness and stability of constant equilibria in parabolic–elliptic chemotaxis systems without gradient sensing
- A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system
- On the parabolic‐elliptic Keller–Segel system with signal‐dependent motilities: A paradigm for global boundedness and steady states
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
- Delayed blow‐up for chemotaxis models with local sensing
- Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption
- Global boundedness of solutions to a parabolic–parabolic chemotaxis system with local sensing in higher dimensions
- Critical mass on the Keller-Segel system with signal-dependent motility
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