Refined Asymptotic Behavior of Blowup Solutions to a Simplified Chemotaxis System

DOI10.1002/cpa.21954zbMath1498.35112OpenAlexW3092517624MaRDI QIDQ5043756

Noriko Mizoguchi

Publication date: 6 October 2022

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

Full work available at URL: https://doi.org/10.1002/cpa.21954

zbMATH Keywords

elliptic-parabolic system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

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Spectral analysis for singularity formation of the two dimensional Keller-Segel system ⋮ Finite-time blow-up and boundedness in a 2D Keller–Segel system with rotation ⋮ Global existence of free-energy solutions to the 2D Patlak-Keller-Segel-Navier-Stokes system with critical and subcritical mass ⋮ Critical mass for Keller–Segel systems with supercritical nonlinear sensitivity ⋮ Collapsing-ring blowup solutions for the Keller-Segel system in three dimensions and higher ⋮ Stable singularity formation for the Keller-Segel system in three dimensions ⋮ Criterion on Initial Energy for Finite-time Blowup in Parabolic-parabolic Keller--Segel System ⋮ Complete classification of gradient blow-up and recovery of boundary condition for the viscous Hamilton-Jacobi equation

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