کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
837193 1470407 2015 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Space–time regularity of the mild solutions to the incompressible generalized Navier–Stokes equations with small rough initial data
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Space–time regularity of the mild solutions to the incompressible generalized Navier–Stokes equations with small rough initial data
چکیده انگلیسی

In recent paper of Li and Zhai (2010), the authors proved the global-in-time existence and spatial regularity of mild   solutions to the nn-dimensional incompressible generalized Navier–Stokes equations with small initial data u0u0 in Qα;∞β,−1(Rn)≔∇⋅(Qαβ(Rn))n, β∈(12,1] and α∈[0,β)α∈[0,β). In this paper, by using the Fourier localization method, we shall show that the mild solution presented by Li and Zhai (2010) satisfies the decay estimates for any space–time derivative involving some borderline Besov space norms. Moreover, the solution has a unique trajectory which is Hölder continuous with respect to space variables.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 22, April 2015, Pages 373–387
نویسندگان
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