Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic-elliptic Keller-Segel systems (Q2026399)

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English	Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic-elliptic Keller-Segel systems	scientific article

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title

Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic-elliptic Keller-Segel systems (English)

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ZAMP. Zeitschrift für angewandte Mathematik und Physik

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publication date

19 May 2021

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full work available at URL

https://arxiv.org/abs/2005.12089

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zbMATH Keywords

finite-time blow-up

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nonlinear diffusion

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logistic source

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MaRDI profile type

MaRDI publication profile

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cites work

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Blow-up profiles in quasilinear fully parabolic Keller–Segel systems

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Finite-time blow-up in a two-dimensional Keller-Segel system with an environmental dependent logistic source

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Blow-up in finite or infinite time for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type

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On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis

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Traveling bands of chemotactic bacteria: a theoretical analysis

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Chemotaxis can prevent thresholds on population density

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Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system

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Facing low regularity in chemotaxis systems

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Boundedness in quasilinear Keller-Segel equations with nonlinear sensitivity and logistic source

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A blow-up result for a quasilinear chemotaxis system with logistic source in higher dimensions

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Parabolic system of chemotaxis: Blowup in a finite and the infinite time.

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Time global existence and asymptotic behavior of solutions to generate quasi-linear parabolic systems of chemotaxis.

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MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS

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Blow‐up in a parabolic–elliptic Keller–Segel system with density‐dependent sublinear sensitivity and logistic source

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

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A Chemotaxis System with Logistic Source

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Finite-time blow-up and global boundedness for chemotaxis system with strong logistic dampening

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Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source

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

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Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source

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Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction

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

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How far can chemotactic cross-diffusion enforce exceeding carrying capacities?

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A critical blow-up exponent in a chemotaxis system with nonlinear signal production

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Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation

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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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Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system

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When do Keller-Segel systems with heterogeneous logistic sources admit generalized solutions?

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Boundedness and blow-up for a chemotaxis system with generalized volume-filling effect and logistic source

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Identifiers

zbMATH Open document ID

1466.35056

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DOI

10.1007/s00033-021-01524-8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2026399