On the Maxwell-Stefan approach to multicomponent diffusion
arXiv:1007.1775
Abstract
We consider the system of Maxwell-Stefan equations which describe multicomponent diffusive fluxes in non-dilute solutions or gas mixtures. We apply the Perron-Frobenius theorem to the irreducible and quasi-positive matrix which governs the flux-force relations and are able to show normal ellipticity of the associated multicomponent diffusion operator. This provides local-in-time wellposedness of the Maxwell-Stefan multicomponent diffusion system in the isobaric, isothermal case.
Based on a talk given at the Conference on Nonlinear Parabolic Problems in Bedlewo, Mai 2009