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.
CITATION STYLE
Bothe, D. (2011). On the Maxwell-Stefan approach to multicomponent diffusion. In Progress in Nonlinear Differential Equations and Their Application (Vol. 80, pp. 81–93). Springer US. https://doi.org/10.1007/978-3-0348-0075-4_5
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