Displaying similar documents to “Homogenization of a carcinogenesis model with different scalings with the homogenization parameter”

Modelling bioremediation of polluted soils in unsaturated condition and its effect on the soil hydraulic properties

Iacopo Borsi, Angiolo Farina, Antonio Fasano, Mario Primicerio (2008)

Applications of Mathematics

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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...