most citedNumerical Analysis of a Parabolic Variational Inequality System Modeling Biofilm Growth at the Porescale

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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…