کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4610661 | 1338578 | 2013 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Random attractors for stochastic 2D-Navier–Stokes equations in some unbounded domains
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Random attractors for stochastic 2D-Navier–Stokes equations in some unbounded domains Random attractors for stochastic 2D-Navier–Stokes equations in some unbounded domains](/preview/png/4610661.png)
چکیده انگلیسی
We show that the stochastic flow generated by the 2-dimensional Stochastic Navier–Stokes equations with rough noise on a Poincaré-like domain has a unique random attractor. One of the technical problems associated with the rough noise is overcomed by the use of the corresponding Cameron–Martin (or reproducing kernel Hilbert) space. Our results complement the result by Brzeźniak and Li (2006) [10] who showed that the corresponding flow is asymptotically compact and also generalize Caraballo et al. (2006) [12] who proved existence of a unique attractor for the time-dependent deterministic Navier–Stokes equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 255, Issue 11, 1 December 2013, Pages 3897–3919
Journal: Journal of Differential Equations - Volume 255, Issue 11, 1 December 2013, Pages 3897–3919
نویسندگان
Z. Brzeźniak, T. Caraballo, J.A. Langa, Y. Li, G. Łukaszewicz, J. Real,