Criterion on Initial Energy for Finite-time Blowup in Parabolic-parabolic Keller--Segel System

DOI10.1137/19M1280570zbMath1467.35062OpenAlexW3101363055MaRDI QIDQ5139104

Noriko Mizoguchi

Publication date: 7 December 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1280570

zbMATH Keywords

finite time blowupradial symmetryKeller-Segel systemLiapunov functional

Mathematics Subject Classification ID

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)

Related Items (2)

Critical mass for Keller–Segel systems with supercritical nonlinear sensitivity ⋮ Particle approximation of the doubly parabolic Keller-Segel equation in the plane

Cites Work

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• Initiation of slime mold aggregation viewed as an instability
• On convergence to equilibria for the Keller-Segel chemotaxis model
• Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• On the stability of critical chemotactic aggregation
• Finite-time blowup in Cauchy problem of parabolic-parabolic chemotaxis system
• Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
• Singularity patterns in a chemotaxis model
• Blow-up in a chemotaxis model without symmetry assumptions
• Random walk with persistence and external bias
• On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
• Existence and nonexistence of solutions for a model of gravitational interaction of particles, I
• Refined Asymptotic Behavior of Blowup Solutions to a Simplified Chemotaxis System
• The 8π‐problem for radially symmetric solutions of a chemotaxis model in the plane
• Chemotactic collapse in a parabolic system of mathematical biology

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