کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1710481 1012891 2007 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On some homogenization problems from shallow water theory
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
On some homogenization problems from shallow water theory
چکیده انگلیسی

This note is devoted to the effect of topography on geophysical flows. We consider two models derived from shallow water theory: the quasigeostrophic equation and the lake equation. Small scale variations of topography appear in these models through a periodic function, of small wavelength εε. The asymptotic limit as εε goes to zero reveals homogenization problems in which the cell and averaged equations are both nonlinear. In the spirit of article [P.-L. Lions, N. Masmoudi, Homogenization of the Euler system in a 2D porous medium, J. Math. Pures Appl. (9) 84 (1) (2005) 1–20], we derive rigorously the limit systems, through the notion of two-scale convergence.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 20, Issue 5, May 2007, Pages 505–510
نویسندگان
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