کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844556 908598 2007 37 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
ΣΣ-convergence of nonlinear parabolic operators
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
ΣΣ-convergence of nonlinear parabolic operators
چکیده انگلیسی

We discuss the nonstochastic homogenization of nonlinear parabolic differential operators in an abstract setting framed to bridge the gap between periodic and stochastic homogenization theories. Instead of the classical periodicity hypothesis, we have here an abstract assumption covering a great variety of concrete behaviours in both space and time variables, such as the periodicity, the almost periodicity, the convergence at infinity, and others. Our basic approach is the ΣΣ-convergence method generalizing the well-known two-scale convergence technique. Fundamental homogenization theorems are proved and several concrete examples are worked out, which reveal that homogenization beyond the periodic setting may involve difficulties that are beyond imagination.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 66, Issue 4, 15 February 2007, Pages 968–1004
نویسندگان
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