Existence analysis for a reaction-diffusion Cahn-Hilliard-type system with degenerate mobility and singular potential modeling biofilm growth

DOI10.3934/dcds.2023069zbMath1519.35202arXiv2302.07765OpenAlexW4382399951MaRDI QIDQ6165951

Publication date: 2 August 2023

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

Full work available at URL: https://arxiv.org/abs/2302.07765

zbMATH Keywords

existence of solutions Cahn-Hilliard equation reaction-diffusion equation singular potential biofilms degenerate mobility logarithmic free energy

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Degenerate parabolic equations (35K65) Cell movement (chemotaxis, etc.) (92C17) Singular parabolic equations (35K67)

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