کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774040 | 1413541 | 2017 | 32 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt approximation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt approximation Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt approximation](/preview/png/5774040.png)
چکیده انگلیسی
In this paper we consider the Navier-Stokes equations supplemented with either the Dirichlet or vorticity-based Navier slip boundary conditions. We prove that weak solutions obtained as limits of solutions of the Navier-Stokes-Voigt model satisfy the local energy inequality, and we also prove certain regularity results for the pressure. Moreover, in the periodic setting we prove that if the parameters are chosen in an appropriate way, then we can construct suitable weak solutions through a Fourier-Galerkin finite-dimensional approximation in the space variables.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 262, Issue 5, 5 March 2017, Pages 3285-3316
Journal: Journal of Differential Equations - Volume 262, Issue 5, 5 March 2017, Pages 3285-3316
نویسندگان
Luigi C. Berselli, Stefano Spirito,