Analysis of a degenerate biofilm model with a nutrient taxis term

DOI10.3934/dcds.2014.34.99zbMath1277.35225OpenAlexW2316708678MaRDI QIDQ379695

Hermann J. Eberl, Messoud A. Efendiev, Dariusz Wrzosek, Anna Zhigun

Publication date: 11 November 2013

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

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.99

zbMATH Keywords

compactness methoddegenerate diffusionfast diffusion

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Population dynamics (general) (92D25) Degenerate parabolic equations (35K65) Cell movement (chemotaxis, etc.) (92C17) Second-order parabolic systems (35K40) Singular parabolic equations (35K67) Quasilinear parabolic equations (35K59)

Related Items (5)

Mathematical modeling of biofilm development ⋮ Global solutions to a haptotaxis system with a potentially degenerate diffusion tensor in two and three dimensions ⋮ Analysis of a finite-volume scheme for a single-species biofilm model ⋮ Existence analysis for a reaction-diffusion Cahn-Hilliard-type system with degenerate mobility and singular potential modeling biofilm growth ⋮ Global existence for a degenerate haptotaxis model of cancer invasion

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