Self-similar blow-up for a diffusion–attraction problem

DOI10.1088/0951-7715/17/6/007zbMath1067.35134arXivmath/0404283OpenAlexW3099143130WikidataQ59874043 ScholiaQ59874043MaRDI QIDQ4652942

Mark Adriaan Peletier, Ignacio A. Guerra

Publication date: 28 February 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404283

zbMATH Keywords

chemotaxisasymptotic behaviourgravitational collapseparabolic-elliptic systemidentification of initial datamass-conserving aggregation

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Galactic and stellar dynamics (85A05) Cell movement (chemotaxis, etc.) (92C17)

Related Items (8)

Exponential grow-up rates in a quasilinear Keller–Segel system ⋮ Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems ⋮ Exponential speed of uniform convergence of the cell density toward equilibrium for subcritical mass in a Patlak-Keller-Segel model ⋮ Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions ${n\geq 3}$ ⋮ Boundary concentration phenomena for the higher-dimensional Keller-Segel system ⋮ Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type ⋮ Blow-up criteria for the classical Keller-Segel model of chemotaxis in higher dimensions ⋮ Facing low regularity in chemotaxis systems

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