کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839226 1470461 2016 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Local regularity criteria of the 3D Navier–Stokes and related equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Local regularity criteria of the 3D Navier–Stokes and related equations
چکیده انگلیسی

In this paper, we are concerned with the local regularity of suitable weak solutions to the 3D Navier–Stokes equations and its generalized case with fractional power of the Laplacian (−Δ)α(−Δ)α (3/4≤α<13/4≤α<1). In the first part, we derive some ϵϵ-regularity criteria in terms of the deformation tensor D(u)D(u) for the classical Navier–Stokes equations. In the second part, for the fractional case, we obtain some regularity conditions for suitable weak solutions including the velocity uu, the gradient of the velocity ∇u∇u, the rotation tensor Ω(u)Ω(u) and the deformation tensor D(u)D(u). This generalizes the results obtained by Gustafson et al. (2007).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 140, July 2016, Pages 130–144
نویسندگان
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