Chemotactic Aggregation versus Logistic Damping on Boundedness in the 3D Minimal Keller--Segel Model (Q4684192)

scientific article; zbMATH DE number 6944949

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English	Chemotactic Aggregation versus Logistic Damping on Boundedness in the 3D Minimal Keller--Segel Model	scientific article; zbMATH DE number 6944949

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scholarly article

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title

Chemotactic Aggregation versus Logistic Damping on Boundedness in the 3D Minimal Keller--Segel Model (English)

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zbMATH Open document ID

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SIAM Journal on Applied Mathematics

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publication date

27 September 2018

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Mathematics Subject Classification ID

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Keller-Segel chemotaxis system in three space dimensions

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logistic damping

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global existence

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blow-up of solutions

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MaRDI publication profile

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cites work

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

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MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM

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Finite-time blowup in a supercritical quasilinear parabolic-parabolic Keller-Segel system in dimension 2

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On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions

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Q5630031

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Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity

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Spatio-temporal chaos in a chemotaxis model

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Blow-up in a chemotaxis model without symmetry assumptions

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From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I

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Boundedness vs. blow-up in a chemotaxis system

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Boundedness in a parabolic-elliptic chemotaxis-growth system under a critical parameter condition

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

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Chemotaxis effect vs. logistic damping on boundedness in the 2-D minimal Keller-Segel model

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Blowup and global solutions in a chemotaxis-growth system

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Initiation of slime mold aggregation viewed as an instability

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Model for chemotaxis

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Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source

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Chemotaxis can prevent thresholds on population density

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How far does small chemotactic interaction perturb the Fisher-KPP dynamics?

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Nondegeneracy of blow-up points for the parabolic Keller-Segel system

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Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation

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A model of wound-healing angiogenesis in soft tissue

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Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model

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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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Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening

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

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Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems

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full work available at URL

https://doi.org/10.1137/17m1150475

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OpenAlex ID

W2892251032

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Sitelinks

Mathematics(1 entry)

mardi Publication:4684192