Homogenization of the Nernst-Planck-Poisson System by Two-Scale Convergence |
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Authors: | Gérard Gagneux Olivier Millet |
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Institution: | 1. LaSIE, FRE-CNRS 3474, Université de La Rochelle, Avenue Michel Crépeau, 17042, La Rochelle cedex 1, France
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Abstract: | This work focuses on performing the homogenization of the Nernst-Planck-Poisson system, in order to obtain an efficient modelling of the ionic transfer and electrocapillary effects at the macroscopic scale for saturated porous media. The homogenization is performed with the powerful two-scale convergence method, which enables to obtain both the homogenized model and the associated convergence result. |
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