Some remarks on well-posedness of the higher-dimensional chemorepulsion system

DOI10.4064/BA190324-4-6zbMath1437.35116OpenAlexW2950249118WikidataQ127667387 ScholiaQ127667387MaRDI QIDQ5207291

Kentarou Fujie, Tomasz Cieślak

Publication date: 19 December 2019

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba190324-4-6

zbMATH Keywords

boundedness of solutionsLyapunov-like functionalglobak well-posedness

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

Global existence of solutions to a parabolic attraction-repulsion chemotaxis system in \(\mathbb{R}^2\): the attractive dominant case ⋮ Boundedness of solutions to a parabolic attraction-repulsion chemotaxis system in \(\mathbb{R}^2\): the attractive dominant case ⋮ Energy-Like Functional in a Quasilinear Parabolic Chemotaxis System ⋮ Strong damping effect of chemo-repulsion prevents blow-up

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