4 citations · 4 across the 2 of their papers we have counts for
2 papers
math.AP2026
Well-Posedness of a Coupled Brinkman--Biofilm--Nutrient System with Volume-Fraction Constraints
Azhar Alhammali, Mohamed Majdoub
We investigate a coupled system of partial differential equations modeling the interaction between Brinkman flow, biofilm evolution, and nutrient transport in a porous medium. The…
math.NA2020★ 4 cited
Numerical Analysis of a Parabolic Variational Inequality System Modeling Biofilm Growth at the Porescale
Azhar Alhammali, Malgorzata Peszynska
In this paper we consider a system of two coupled nonlinear diffusion--reaction partial differential equations (PDEs) which model the growth of biofilm and consumption of the nutri…