RT Journal Article
T1 Analysis of a two phase flow model of biofilm spread
A1 Carpio Rodríguez, Ana María
A1 Duro, Gema
AB We consider a quasi-stationary problem describing the status of velocities, pressures and chemicals affecting cell behavior within a biofilm. The model couples stationary transport equations and compressible Stokes systems with convection–reaction–diffusion equations. We establish existence, uniqueness and stability of solutions of the different submodels involved and then obtain well posedness results for the quasi-stationary system. Our analysis relies on the construction of weak solutions for the steady transport equations under sign assumptions and the reformulation of the compressible Stokes problem as an elliptic system with enhanced regularity properties on the pressure. We need to consider velocity fields whose divergence and normal boundary components satisfy sign conditions. Applications include the study of cells,biofilms and tissues, where one phase is a liquid solution, whereas the other one is assorted biomass.
PB Elsevier
SN 0362-546X
YR 2024
FD 2024
LK https://hdl.handle.net/20.500.14352/109042
UL https://hdl.handle.net/20.500.14352/109042
LA eng
NO 2024 acuerdo transformativo CRUE
DS Docta Complutense
RD 12 abr 2025