An Asymptotic Solution to a Nonlinear Reaction-Diffusion System with Chemotaxis

DOI10.1080/01630563.2012.704474zbMath1264.35117OpenAlexW2042621210WikidataQ60581980 ScholiaQ60581980MaRDI QIDQ4912746

Elena-Roxana Ardeleanu, Gabriela Marinoschi

Publication date: 5 April 2013

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2012.704474

zbMATH Keywords

perturbation methodtransmission conditions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

Local and global existence of solutions to a quasilinear degenerate chemotaxis system with unbounded initial data ⋮ A control problem for a cross-diffusion system in a nonhomogeneous medium ⋮ Existence of solutions to chemotaxis dynamics with Lipschitz diffusion and superlinear growth ⋮ Existence of solutions to chemotaxis dynamics with logistic source

Cites Work

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• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• Traveling bands of chemotactic bacteria: a theoretical analysis
• A user's guide to PDE models for chemotaxis
• Functional analysis, Sobolev spaces and partial differential equations
• Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial popu\-lations
• Age-structured diffusion in a multi-layer environment
• Nonlinear Differential Equations of Monotone Types in Banach Spaces

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