UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2022-07-01 16:19

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Conference: Bucharest University Faculty of Physics 2019 Meeting


Section: Theoretical Physics and Applied Mathematics


Title:
New homogenization results for ionic transport phenomena in periodic charged media


Authors:
Claudia TIMOFTE


Affiliation:
University of Bucharest, Faculty of Physics, Bucharest-Magurele, P. O. Box MG-11, Romania


E-mail
claudia.timofte@g.unibuc.ro


Keywords:
homogenization, ionic transport, the periodic unfolding method


Abstract:
The goal of this talk is to present some new homogenization results, obtained via the periodic unfolding method [1], for the Stokes-Poisson-Nernst-Planck system, describing ionic transfer phenomena, coupled with electrocapillary effects, in periodic charged porous media. Our mathematical model can be useful for analyzing the ion transport through protein channels and represents a generalization of the models proposed in [2] and [3].


References:

[1] D. Cioranescu, A. Damlamian, and G. Griso, The Periodic Unfolding Method, Series in Contemporary Mathematics, Vol. 3, Springer, 2018.

[2] N. Ray, A. Muntean, and P. Knabner, Rigorous homogenization of a Stokes-Nernst-Planck-Poisson system, J. Math. Anal. Appl. 390, 374-393, 2012.

[3] C. Timofte, Homogenization results for ionic transport in periodic porous media, Comp. Math. Appl. 68, 1024-1031, 2014.