On Existence of Local Solutions of a Moving Boundary Problem Modelling Chemotaxis in 1-D

DOI10.4208/JPDE.V27.N3.7zbMath1324.35215OpenAlexW897143391WikidataQ128339909 ScholiaQ128339909MaRDI QIDQ5257559

Shaohua Wu, Bo Yue

Publication date: 29 June 2015

Published in: Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jpde.v27.n3.7

zbMATH Keywords

local existencechemotaxismoving boundaryKeller-Segel model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Moving boundary problems for PDEs (35R37) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

A free boundary problem for a class of parabolic-elliptic type chemotaxis model ⋮ A free boundary problem for a class of parabolic type chemotaxis model

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