Well-posedness, blow-up dynamics and controllability of the classical chemotaxis model

DOI10.1515/apam-2017-0122zbMath1423.35048OpenAlexW2928523066MaRDI QIDQ1999699

Robert Willie, Newton Okposo

Publication date: 27 June 2019

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2017-0122

zbMATH Keywords

Carleman estimatesKeller-Segel modelbang-bang controlslower finite time blow-up boundnull-approximate controllability

Mathematics Subject Classification ID

Controllability (93B05) Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Perturbations in context of PDEs (35B20) 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)

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