کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6418084 | 1339320 | 2015 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Uniform attractors for three-dimensional Navier-Stokes equations with nonlinear damping
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper is concerned with the three-dimensional non-autonomous Navier-Stokes equation with nonlinear damping in 3D bounded domains. When the external force f0(x,t) is translation compact in Lloc2(R;H), α>0, 72â¤Î²â¤5 and initial data uÏâV, we give a series of uniform estimates on the solutions. Based on these estimates, we prove the family of processes {Uf(t,Ï)}, fâH(f0), is (VÃH(f0),V)-continuous. At the same time, by making use of Ascoli-Arzela theorem, we find {Uf(t,Ï)}, fâH(f0), is (V,H2(Ω))-uniformly compact. So, using semiprocess theory, we obtain the existence of (V,V)-uniform attractor and (V,H2(Ω))-uniform attractor. And we prove the (V,V)-uniform attractor is actually the (V,H2(Ω))-uniform attractor.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 422, Issue 1, 1 February 2015, Pages 337-351
Journal: Journal of Mathematical Analysis and Applications - Volume 422, Issue 1, 1 February 2015, Pages 337-351
نویسندگان
Xue-li Song, Yan-ren Hou,