کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4617556 | 1339385 | 2012 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Rigorous homogenization of a Stokes–Nernst–Planck–Poisson system
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We perform the periodic homogenization (i.e. ε→0) of a non-stationary Stokes–Nernst–Planck–Poisson system using two-scale convergence, where ε is a suitable scale parameter. The objective is to investigate the influence of different boundary conditions and variable choices of scalings in ε 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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 390, Issue 1, 1 June 2012, Pages 374-393
Journal: Journal of Mathematical Analysis and Applications - Volume 390, Issue 1, 1 June 2012, Pages 374-393