Homogenization of the generalized Poisson–Nernst–Planck problem in a two-phase medium: correctors and estimates Научная публикация
| Журнал |
Applicable Analysis
ISSN: 0003-6811 |
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| Вых. Данные | Год: 2021, Том: 100, Номер: 2, Страницы: 253-274 Страниц : 22 DOI: 10.1080/00036811.2019.1600676 | ||||
| Ключевые слова | 35B27; 35M10; 82C24; Andrey Piatnitski; Generalized Poisson–Nernst–Planck model; homogenization; periodic unfolding method; residual error estimate; two-phase interface condition | ||||
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Реферат:
The paper provides a rigorous homogenization of the Poisson–Nernst–Planck problem stated in an inhomogeneous domain composed of two, solid and pore, phases. The generalized PNP model is constituted of the Fickian cross-diffusion law coupled with electrostatic and quasi-Fermi electrochemical potentials, and Darcy's flow model. At the interface between two phases inhomogeneous boundary conditions describing electrochemical reactions are considered. The resulting doubly non-linear problem admits discontinuous solutions caused by jumps of field variables. Using an averaged problem and first-order asymptotic correctors, the homogenization procedure gives us an asymptotic expansion of the solution which is justified by residual error estimates.
Библиографическая ссылка:
Kovtunenko V.A.
, Zubkova A.V.
Homogenization of the generalized Poisson–Nernst–Planck problem in a two-phase medium: correctors and estimates
Applicable Analysis. 2021. V.100. N2. P.253-274. DOI: 10.1080/00036811.2019.1600676 WOS Scopus РИНЦ OpenAlex
Homogenization of the generalized Poisson–Nernst–Planck problem in a two-phase medium: correctors and estimates
Applicable Analysis. 2021. V.100. N2. P.253-274. DOI: 10.1080/00036811.2019.1600676 WOS Scopus РИНЦ OpenAlex
Идентификаторы БД:
| Web of science: | WOS:000609611600002 |
| Scopus: | 2-s2.0-85063928817 |
| РИНЦ: | 45550161 |
| OpenAlex: | W2940006616 |