In this paper, the problem of periodic homogenization of the Maxwell-Stefan cross diffusion system was studied in the case of three species with two equal binary diffusion coefficients. Using the technique of two-scale homogenization, we characterized the limit equation. The limit equation allows one to describe the behavior of a gas mixture in the diffusive regime in a porous medium. This paper provides the first rigorous mathematical results on the homogenization of the Maxwell-Stefan equations.
ON THE PERIODIC HOMOGENIZATION OF THE MAXWELL-STEFAN EQUATIONS
Nocita C.;Salvarani F.
2025-01-01
Abstract
In this paper, the problem of periodic homogenization of the Maxwell-Stefan cross diffusion system was studied in the case of three species with two equal binary diffusion coefficients. Using the technique of two-scale homogenization, we characterized the limit equation. The limit equation allows one to describe the behavior of a gas mixture in the diffusive regime in a porous medium. This paper provides the first rigorous mathematical results on the homogenization of the Maxwell-Stefan equations.File in questo prodotto:
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