Small-density solutions in Keller-Segel systems involving rapidly decaying diffusivities (Q2046645)

scientific article; zbMATH DE number 7385398

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English	Small-density solutions in Keller-Segel systems involving rapidly decaying diffusivities	scientific article; zbMATH DE number 7385398

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instance of

scholarly article

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title

Small-density solutions in Keller-Segel systems involving rapidly decaying diffusivities (English)

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NoDEA. Nonlinear Differential Equations and Applications

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publication date

26 August 2021

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zbMATH Keywords

Moser iteration

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small data solutions

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00030-021-00709-4

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cites work

Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces

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Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions

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New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models

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Global bounded solutions in a two-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity

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Stabilization in a higher-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity

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$L^\sigma$-measure criteria for boundedness in a quasilinear parabolic-parabolic Keller-Segel system with supercritical sensitivity

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Q4398321

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A user's guide to PDE models for chemotaxis

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Boundedness vs. blow-up in a chemotaxis system

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Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains

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Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion

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Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations

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A quasi-linear parabolic system of chemotaxis

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Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity

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Global Regularity versus Infinite-Time Singularity Formation in a Chemotaxis Model with Volume-Filling Effect and Degenerate Diffusion

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Singularity formation in chemotaxis systems with volume-filling effect

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Does a ‘volume-filling effect’ always prevent chemotactic collapse?

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Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system

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Global existence and slow grow-up in a quasilinear Keller–Segel system with exponentially decaying diffusivity

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Global classical solvability and generic infinite-time blow-up in quasilinear Keller-Segel systems with bounded sensitivities

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A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients

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Volume Filling Effect in Modelling Chemotaxis

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Model of chemotaxis with threshold density and singular diffusion

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Identifiers

zbMATH Open document ID

1471.35064

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Mathematics Subject Classification ID

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10.1007/S00030-021-00709-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:2046645