کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840453 908481 2012 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic behavior of strong solutions to the 3D Navier–Stokes equations with a nonlinear damping term
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Asymptotic behavior of strong solutions to the 3D Navier–Stokes equations with a nonlinear damping term
چکیده انگلیسی

This paper deals with the asymptotic behavior of strong solutions to the 3D Navier–Stokes equations with a nonlinear damping term |u|β−1u(β≥3)|u|β−1u(β≥3). First, we establish an upper bound for the difference between the solution of our equation and the heat equation in L2L2 space. Then, we optimize the upper bound of decay for the solutions and obtain their algebraic lower bound by using Fourier Splitting method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 13, September 2012, Pages 5002–5009
نویسندگان
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