A new regularity criterion for the Navier-Stokes equations via partial components of the fractional derivative
نویسندگان
چکیده
We study the incompressible Navier-Stokes equations in the entire three-dimensional space. We prove that if ∂3u3 ∈ L1 t L1 x and u1, u2 ∈ L2 t L2 x , then the solution is regular. Here 2 s1 + 3 r1 ≤ 1, 3 ≤ r1 ≤ ∞, 2 s2 + 3 r2 ≤ 1 and 3 ≤ r2 ≤ ∞.
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عنوان ژورنال:
- Appl. Math. Lett.
دوره 50 شماره
صفحات -
تاریخ انتشار 2015