Singular limit problem for the Keller-Segel system and drift-diffusion system in scaling critical spaces

DOI10.1007/s00028-019-00527-3zbMath1444.35096OpenAlexW2969707442WikidataQ127353455 ScholiaQ127353455MaRDI QIDQ2188072

Takayoshi Ogawa, Masaki Kurokiba

Publication date: 3 June 2020

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-019-00527-3

zbMATH Keywords

maximal regularityscaling invariant spacesKeller-Segel systemsingular limit probleminitial layerlimit of infinite relaxation time

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59)

Related Items (9)

Maximal regularity of the heat evolution equation on spatial local spaces and application to a singular limit problem of the Keller-Segel system ⋮ Singular limit problem for the Keller-Segel system and drift-diffusion system in scaling critical Besov-Morrey spaces ⋮ The singular convergence of a chemotaxis-fluid system modeling coral fertilization ⋮ Convergence analysis from the indirect signal production to the direct one ⋮ The convergence rate of the fast signal diffusion limit for a Keller–Segel–Stokes system with large initial data ⋮ On a Navier-Stokes-Ohm problem from plasma physics in multi connected domains ⋮ Maximal regularity and a singular limit problem for the Patlak-Keller-Segel system in the scaling critical space involving \textit{BMO} ⋮ Local well-posedness and finite time blow-up of solutions to an attraction-repulsion chemotaxis system in higher dimensions ⋮ Singular limit problem for the two-dimensional Keller-Segel system in scaling critical space

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