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.
Mathematics Subject Classification (2000). Primary 35K59; Secondary 35Q35, 76R50, 76T30, 92E20.
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Dedicated to Herbert Amann on the occasion of his 70th anniversary
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Bothe, D. (2011). On the Maxwell-Stefan Approach to Multicomponent Diffusion. In: Escher, J., et al. Parabolic Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 80. Springer, Basel. https://doi.org/10.1007/978-3-0348-0075-4_5
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DOI: https://doi.org/10.1007/978-3-0348-0075-4_5
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