کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4638614 | 1632016 | 2015 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
We consider a sequence of open sets OεOε contained in a fixed bounded open set OO of RNRN, N≥3N≥3, which vary randomly with ε>0ε>0. The corresponding distribution function is given by an ergodic measure preserving dynamical system in such a way that O∖OεO∖Oε is a union of closed sets of size εNN−2 and the distance between them of order εε. For this sequence OεOε we study the asymptotic behavior of the solutions of the Poisson equation with Dirichlet conditions on ∂Oε∂Oε. Similarly to the classical Cioranescu–Murat result for the deterministic problem we show the existence of a new term of zero order in the limit equation. We emphasize the fact that this new term is deterministic.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 275, February 2015, Pages 375–381
Journal: Journal of Computational and Applied Mathematics - Volume 275, February 2015, Pages 375–381
نویسندگان
Carmen Calvo-Jurado, Juan Casado-Díaz, Manuel Luna-Laynez,