Abstract
By the homogenization approach we justify a two-scale model of ion equilibrium between solid layers. By up-scaling, the electric potential equation in nanoslits separated by thin solid layers is approximated by a homogenized macroscale equation in the form of the Poisson equation for an induced vertical electrical field.
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Amirat, Y., Shelukhin, V. (2009). Homogenization of the Poisson—Boltzmann Equation. In: Fursikov, A.V., Galdi, G.P., Pukhnachev, V.V. (eds) New Directions in Mathematical Fluid Mechanics. Advances in Mathematical Fluid Mechanics. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0152-8_2
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DOI: https://doi.org/10.1007/978-3-0346-0152-8_2
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