کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4641924 | 1632054 | 2008 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Theorems about the attractor for incompressible non-Newtonian flow driven by external forces that are rapidly oscillating in time but have a smooth average
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper discusses the incompressible non-Newtonian fluid with rapidly oscillating external forces gÉ(x,t)=g(x,t,t/É) possessing the average g0(x,t) as Éâ0+, where 0<É⩽É0<1. Firstly, with assumptions (A1)-(A5) on the functions g(x,t,ξ) and g0(x,t), we prove that the Hausdorff distance between the uniform attractors AÉ and A0 in space H, corresponding to the oscillating equations and the averaged equation, respectively, is less than O(É) as Éâ0+. Then we establish that the Hausdorff distance between the uniform attractors AÉV and A0V in space V is also less than O(É) as Éâ0+. Finally, we show AÉâAÉV for each Éâ[0,É0].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 220, Issues 1â2, 15 October 2008, Pages 129-142
Journal: Journal of Computational and Applied Mathematics - Volume 220, Issues 1â2, 15 October 2008, Pages 129-142
نویسندگان
Caidi Zhao, Shengfan Zhou, Yongsheng Li,