Mathematical modeling of biofilm development

DOI10.1016/j.nonrwa.2018.01.005OpenAlexW2596556864MaRDI QIDQ1640829

Maria Gokieli, Nobuyuki Kenmochi, Marek Niezgódka

Publication date: 14 June 2018

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04420

zbMATH Keywords

variational inequalitysubdifferentialdegenerate diffusionflowNavier-Stokesobstacle

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Related Items (3)

Analysis of a finite-volume scheme for a single-species biofilm model ⋮ Coupled flow and biomass-nutrient growth at pore-scale with permeable biofilm, adaptive singularity and multiple species ⋮ Parabolic Quasi-Variational Inequalities (I) -- Semimonotone Operator Approach

Cites Work

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• Quasi-variational inequality approach to heat convection problems with temperature dependent velocity constraint
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• Variational inequalities of Navier-Stokes type with time dependent constraints
• Evolution equations generated by subdifferentials in the dual space of \((H^1(\Omega))\)
• Convergence of convex sets and of solutions of variational inequalities
• A New Deterministic Spatio-Temporal Continuum Model for Biofilm Development
• Some results on the multi-phase stefan problem
• Nonlinear Differential Equations of Monotone Types in Banach Spaces

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