I. Borsi, A. Farina, A. Fasano (corresponding author), M. Primicerio, Dipartimento di Matematica "U. Dini", Universita degli Studi di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy, e-mail: fasano@math.unifi.it
Abstract: We study the unsaturated flow of an incompressible liquid carrying a bacterial population through a porous medium contaminated with some pollutant. The biomass grows feeding on the pollutant and affecting at the same time all the physics of the flow. We formulate a mathematical model in a one-dimensional setting and we prove an existence theorem for it. The so-called fluid media scaling approach, often used in the literature, is discussed and its limitations are pointed out on the basis of a specific example.
Keywords: flows in porous media, continuous dependence on parameters
Classification (MSC 2000): 35B30, 76S05
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