Rigorous Homogenization of a Stokes-Nernst-Planck-Poisson Problem for various Boundary Conditions

Details Rigorous Homogenization of a Stokes-Nernst-Planck-Poisson Problem for various Boundary Conditions Rigorous Homogenization of a Stokes-Nernst-Planck-Poisson Problem for various Boundary Conditions

2011-11-07

arxiv.org/abs/1111.1604v1

Mathematics

Analysis of PDEs

29 pages, 1 figure

Scientific paper

We perform the periodic homogenization (i.e. $\eps\to 0$) of the non-stationary Stokes-Nernst-Planck-Poisson system using two-scale convergence, where $\eps$ is a suitable scale parameter. The objective is to investigate the influence of \textsl{different boundary conditions and variable choices of scalings in $\eps$} of the microscopic system of partial differential equations on the structure of the (upscaled) limit model equations. Due to the specific nonlinear coupling of the underlying equations, special attention has to be paid when passing to the limit in the electrostatic drift term. As a direct result of the homogenization procedure, various classes of upscaled model equations are obtained.

Affiliated with

Also associated with

No associations

Rating

Rigorous Homogenization of a Stokes-Nernst-Planck-Poisson Problem for various Boundary Conditions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rigorous Homogenization of a Stokes-Nernst-Planck-Poisson Problem for various Boundary Conditions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rigorous Homogenization of a Stokes-Nernst-Planck-Poisson Problem for various Boundary Conditions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-691655