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A mathematical and numerical analysis of the Maxwell-Stefan diffusion equations

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  • We consider the Maxwell-Stefan model of diffusion in a multicomponent gaseous mixture. After focusing on the main differences with the Fickian diffusion model, we study the equations governing a three-component gas mixture. Mostly in the case of a tridiagonal diffusion matrix, we provide a qualitative and quantitative mathematical analysis of the model. We develop moreover a standard explicit numerical scheme and investigate its main properties. We eventually include some numerical simulations underlining the uphill diffusion phenomenon.
    Mathematics Subject Classification: Primary: 35Q35, 35B40; Secondary: 65M06.


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