Global boundedness of solutions to a parabolic–parabolic chemotaxis system with local sensing in higher dimensions
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Publication:5087194
DOI10.1088/1361-6544/ac6659zbMath1497.35475arXiv2106.10830OpenAlexW3177281015WikidataQ114096624 ScholiaQ114096624MaRDI QIDQ5087194
Publication date: 8 July 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.10830
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)
Related Items (9)
Critical mass capacity for two-dimensional Keller–Segel model with nonlocal reaction terms ⋮ Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption ⋮ Boundedness of classical solutions to a chemotaxis consumption system with signal dependent motility and logistic source ⋮ A note to the global solvability of a chemotaxis-Navier-Stokes system with density-suppressed motility ⋮ A short remark on comparison estimates in a chemotaxis system with local sensing ⋮ Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing ⋮ Global existence and uniform boundedness in a fully parabolic Keller-Segel system with non-monotonic signal-dependent motility ⋮ Global bounded classical solutions to a parabolic–elliptic chemotaxis model with local sensing and asymptotically unbounded motility ⋮ Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension
Cites Work
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- Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities
- Model for chemotaxis
- Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
- Semi-linear second-order elliptic equations in \(L^1\)
- Global boundedness of the fully parabolic Keller-Segel system with signal-dependent motilities
- 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 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
- A logarithmic chemotaxis model featuring global existence and aggregation
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data
- Blow-up in a chemotaxis model without symmetry assumptions
- 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
- Delayed blow‐up for chemotaxis models with local sensing
- Critical mass on the Keller-Segel system with signal-dependent motility
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
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