Multiscale elliptic-parabolic systems for flow and transport.

Peszynska, Malgorzata; Showalter, Ralph E.

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Homogenization in chemical reactive flows.

Conca, Carlos, Díaz, Jesus Ildefonso, Liñán, Amable, Timofte, Claudia (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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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...