An effective model for biofilm growth made by chemotactical bacteria in evolving porous media

Schulz R, Knabner P (2017)

Publication Status: Published

Publication Type: Journal article

Publication year: 2017

Journal

SIAM Journal on Applied Mathematics Society for Industrial and Applied Mathematics

Publisher: SIAM PUBLICATIONS

Book Volume: 77

Pages Range: 1653-1677

Journal Issue: 5

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2017/2017_SchulzKn_AnEffectiveModelForBiofilmGrowthInEvolvinPM

DOI: 10.1137/16M108817X

Abstract

The article concerns the growth of biofilms made by chemotactical bacteria within a saturated porous media. The increase of a biomass on the surface of the solid matrix changes the porosity and impedes the flow through the pores. By formal periodic homogenization we derive an averaged model describing the process via Darcy's law and upscaled transport equations with effective coefficients given by the evolving microstructure at the pore-scale. Based on the assumption of uniform evolve of the underlying pore geometry and slight self-diffusivity of the bacteria, solvability in a weak sense global in time or at least up to a possible clogging phenomenon is shown in the two-dimensional case. Furthermore,

Authors with CRIS profile

Raphael Schulz Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik) Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

How to cite

APA:

Schulz, R., & Knabner, P. (2017). An effective model for biofilm growth made by chemotactical bacteria in evolving porous media. SIAM Journal on Applied Mathematics, 77(5), 1653-1677. https://doi.org/10.1137/16M108817X

MLA:

Schulz, Raphael, and Peter Knabner. "An effective model for biofilm growth made by chemotactical bacteria in evolving porous media." SIAM Journal on Applied Mathematics 77.5 (2017): 1653-1677.

BibTeX: Download