Behavior in time of solutions to a degenerate chemotaxis system with flux limitation

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up
On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
A critical blow-up exponent for flux limiation in a Keller-Segel system
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Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
Finite-time blow-up in a degenerate chemotaxis system with flux limitation
Behavior in time of solutions of a Keller-Segel system with flux limitation and source term

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