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• W3047094906 abstract "The paper is devoted to the existence and rigorous homogenisation of the generalised Poisson–Nernst–Planck problem describing the transport of charged species in a two-phase domain. By this, inhomogeneous conditions are supposed at the interface between the pore and solid phases. The solution of the doubly non-linear cross-diffusion model is discontinuous and allows a jump across the phase interface. To prove an averaged problem, the two-scale convergence method over periodic cells is applied and formulated simultaneously in the two phases and at the interface. In the limit, we obtain a non-linear system of equations with averaged matrices of the coefficients, which are based on cell problems due to diffusivity, permittivity and interface electric flux. The first-order corrector due to the inhomogeneous interface condition is derived as the solution to a non-local problem." @default.
• W3047094906 created "2020-08-10" @default.
• W3047094906 creator A5029668977 @default.
• W3047094906 creator A5061705141 @default.
• W3047094906 date "2020-08-03" @default.
• W3047094906 modified "2023-10-16" @default.
• W3047094906 title "Existence and two-scale convergence of the generalised Poisson–Nernst–Planck problem with non-linear interface conditions" @default.
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• W3047094906 doi "https://doi.org/10.1017/s095679252000025x" @default.
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