The variational formulation of the fully parabolic Keller-Segel system with degenerate diffusion

DOI10.1016/j.jde.2017.03.020zbMath1439.35296OpenAlexW1553543210MaRDI QIDQ526023

Yoshifumi Mimura

Publication date: 8 May 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.03.020

zbMATH Keywords

chemotaxisdegenerate diffusionWasserstein distancegradient flowsKeller-Segel

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Critical exponents in context of PDEs (35B33) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) Second-order parabolic systems (35K40) Quasilinear parabolic equations (35K59)

Related Items

On effects of the nonlinear signal production to the boundedness and finite-time blow-up in a flux-limited chemotaxis model ⋮ Finite-time blow-up in a quasilinear degenerate chemotaxis system with flux limitation ⋮ Critical mass phenomena in higher dimensional quasilinear Keller–Segel systems with indirect signal production ⋮ Finite-time blow-up for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type ⋮ Early and late stage profiles for a chemotaxis model with density-dependent jump probability ⋮ Keller-Segel chemotaxis models: a review ⋮ Sharp Long-Time Asymptotics for Chemotaxis with Free Boundary ⋮ Effect of nonlinear diffusion on a lower bound for the blow-up time in a fully parabolic chemotaxis system ⋮ Boundedness and finite-time blow-up in a quasilinear parabolic-elliptic-elliptic attraction-repulsion chemotaxis system

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