Details

Autor(en) / Beteiligte

• SCHULZ, RAPHAEL
• KNABNER, PETER

Titel

AN EFFECTIVE MODEL FOR BIOFILM GROWTH MADE BY CHEMOTACTICAL BACTERIA IN EVOLVING POROUS MEDIA

Ist Teil von

• SIAM journal on applied mathematics, 2017-01, Vol.77 (5), p.1653-1677

Ort / Verlag

Society for Industrial and Applied Mathematics

Erscheinungsjahr

2017

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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, by assuming sufficient regularity on the data we prove the boundedness of the solution.