Blow-up of solutions to semi-discrete parabolic-elliptic Keller-Segel models

DOI10.3934/DCDSB.2019029zbMath1432.35030arXiv1709.03931OpenAlexW2963665058WikidataQ128276798 ScholiaQ128276798MaRDI QIDQ2321128

Oliver Leingang, Ansgar Jüngel

Publication date: 28 August 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.03931

zbMATH Keywords

existence of weak solutionsRunge-Kutta schemetime discretizationfinite-time blow-uphigher-order schemesBDF scheme

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)

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