CORRECTOR HOMOGENIZATION ESTIMATES FOR A NON-STATIONARY STOKES-NERNST-PLANCK-POISSON SYSTEM IN PERFORATED DOMAINS

We consider a non-stationary Stokes-Nernst-Planck-Poisson system posed in perforated domains. Our aim is to justify rigorously the homogenization limit for the upscaled system derived by means of two-scale convergence in [N. Ray, A. Muntean, and P. Knabner, J. Math. Anal. Appl., 390(1):374-393, 2012]. In other words, we wish to obtain the so-called corrector homogenization estimates that specify the error obtained when upscaling the microscopic equations. Essentially, we control in terms of suitable norms differences between the micro-and macro-concentrations and between the corresponding micro- and macro-concentration gradients. The major challenges that we face are the coupled flux structure of the system, the nonlinear drift terms and the presence of the microstructures. Employing various energy-like estimates, we discuss several scalings choices and boundary conditions.

Jaar van publicatie:2019

Trefwoorden:Stokes–Nernst–Planck–Poisson system, variable scalings, two-scale convergence, perforated domains, homogenization asymptotics, corrector estimates, Stokes-Nernst-Planck-Poisson system, Variable scalings, Two-scale convergence, Perforated domains, Homogenization asymptotics, Corrector estimates

BOF-keylabel:ja

IOF-keylabel:ja

BOF-publication weight:1

CSS-citation score:1

Auteurs:International

Authors from:Higher Education

Toegankelijkheid:Open