Well-posedness of Keller-Segel systems on compact metric graphs (Q6656727)

scientific article; zbMATH DE number 7961655

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English	Well-posedness of Keller-Segel systems on compact metric graphs	scientific article; zbMATH DE number 7961655

Statements

instance of

scholarly article

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title

Well-posedness of Keller-Segel systems on compact metric graphs (English)

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Journal of Evolution Equations

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publication date

3 January 2025

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zbMATH Keywords

Neumann-Kirchhoff Laplacian

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heat semigroup

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chemotaxis

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quantum graphs

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Keller-Segel chemotaxis models: a review

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Schrödinger and polyharmonic operators on infinite graphs: parabolic well-posedness and \(p\)-independence of spectra

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Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

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Quantum Graphs and Their Applications

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Q4904449

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The scalar Keller-Segel model on networks

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The heat kernel on the diagonal for a compact metric graph

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A hyperbolic model of chemotaxis on a network: a numerical study

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Q4380362

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Parabolic models for chemotaxis on weighted networks

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The spread of the potential on a homogeneous tree

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Uniform estimate of dimension of the global attractor for a semi-discretized chemotaxis-growth system

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Q3545421

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Free quantum motion on a branching graph

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Genericity of simple eigenvalues for a metric graph

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On a parabolic-elliptic system with chemotaxis and logistic type growth

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Random search in fluid flow aided by chemotaxis

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A simple reaction–diffusion system as a possible model for the origin of chemotaxis

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Sub-Gaussian estimates of heat kernels on infinite graphs

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Global Smooth Solutions for a Hyperbolic Chemotaxis Model on a Network

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Q5217131

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Geometric theory of semilinear parabolic equations

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Q4680827

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A user's guide to PDE models for chemotaxis

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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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Dynamics in Chemotaxis Models of Parabolic-Elliptic Type on Bounded Domain with Time and Space Dependent Logistic Sources

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Pointwise persistence in full chemotaxis models with logistic source on bounded heterogeneous environments

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Initiation of slime mold aggregation viewed as an instability

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Model for chemotaxis

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Chemotaxis and reactions in biology

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Biomixing by chemotaxis and efficiency of biological reactions: the critical reaction case

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Suppression of chemotactic explosion by mixing

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Q5301279

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Quantum graphs: a simple model for chaotic scattering

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Q4463795

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Quantum graphs: I. Some basic structures

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

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Semigroup methods for evolution equations on networks

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Mathematical models for chemotaxis and their applications in self-organisation phenomena

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Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation

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On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime

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Q3221081

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Global existence and asymptotic behavior of classical solutions to a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\)

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Can chemotaxis speed up or slow down the spatial spreading in parabolic-elliptic Keller-Segel systems with logistic source?

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Population dynamics under climate change: persistence criterion and effects of fluctuations

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Persistence and spreading speeds of parabolic-elliptic Keller-Segel models in shifting environments

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Forced waves of parabolic-elliptic Keller-Segel models in shifting environments

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Persistence and convergence in parabolic-parabolic chemotaxis system with logistic source on \(\mathbb{R}^N\)

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Spreading speeds of a parabolic-parabolic chemotaxis model with logistic source on \(\mathbb{R}^N\)

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Persistence of mass in a chemotaxis system with logistic source

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A Chemotaxis System with Logistic Source

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Q4169288

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Q4495324

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A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks

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Classical solvability of linear parabolic equations on networks

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Q4011371

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On a quasilinear parabolic-elliptic chemotaxis system with logistic source

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Qualitative analysis of stationary Keller-Segel chemotaxis models with logistic growth

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Chemotaxis with logistic source: very weak global solutions and their boundedness properties

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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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Existence of solutions to chemotaxis dynamics with logistic source

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A quasilinear parabolic–elliptic chemotaxis-growth system with nonlinear secretion

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Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source

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Boundedness of solutions in a chemotaxis system with nonlinear sensitivity and logistic source

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00028-024-01033-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:6656727