Global boundedness of solutions to a parabolic–parabolic chemotaxis system with local sensing in higher dimensions

DOI10.1088/1361-6544/ac6659zbMath1497.35475arXiv2106.10830OpenAlexW3177281015WikidataQ114096624 ScholiaQ114096624MaRDI QIDQ5087194

Takasi Senba, Kentarou Fujie

Publication date: 8 July 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.10830

zbMATH Keywords

uniform boundednessglobal-in-time solutionschemotaxis with local sensing

Mathematics Subject Classification ID

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

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