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Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller–Segel type systems involving signal-dependent motilities? - MaRDI portal

Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller–Segel type systems involving signal-dependent motilities? (Q5136539)

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scientific article; zbMATH DE number 7278320

Language	Label	Description	Also known as
English	Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller–Segel type systems involving signal-dependent motilities?	scientific article; zbMATH DE number 7278320

Statements

scholarly article

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Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller–Segel type systems involving signal-dependent motilities? (English)

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Michael Winkler

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publication date

26 November 2020

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zbMATH Keywords

cross diffusion

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enhancement of diffusion

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global-in-time existence

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boundedness of solutions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1088/1361-6544/ab9bae

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Global well-posedness and stability of constant equilibria in parabolic–elliptic chemotaxis systems without gradient sensing

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Dynamic theory of quasilinear parabolic systems. III: Global existence

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Improved Duality Estimates and Applications to Reaction-Diffusion Equations

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

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A logarithmic chemotaxis model featuring global existence and aggregation

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Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity

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Elliptic Partial Differential Equations of Second Order

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CONVERGENCE OF A CANCER INVASION MODEL TO A LOGISTIC CHEMOTAXIS MODEL

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

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Global existence of weak solutions to quasilinear degenerate Keller-Segel systems of parabolic-parabolic type

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Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility

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Boundedness and stabilization in a two-species chemotaxis-competition system with signal-dependent diffusion and sensitivity

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Global existence for reaction-diffusion systems with nonlinear diffusion and control of mass

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A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity

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Large time behavior of solutions for density-suppressed motility system in higher dimensions

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Global existence for a class of chemotaxis systems with signal-dependent motility, indirect signal production and generalized logistic source

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Global existence for a class of Keller-Segel models with signal-dependent motility and general logistic term

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An <i>n</i>-dimensional chemotaxis system with signal-dependent motility and generalized logistic source: global existence and asymptotic stabilization

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

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Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion

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Global weak solutions in a chemotaxis system with large singular sensitivity

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

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Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system

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Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth

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

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

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Global solutions in a fully parabolic chemotaxis system with singular sensitivity

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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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Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation

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Identifiers

zbMATH Open document ID

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10.1088/1361-6544/ab9bae

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5136539

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