Regularity of Generalized Naveir-stokes Equations in Terms of Direction of the Velocity
نویسنده
چکیده
In this article, the author studies the regularity of 3D generalized Navier-Stokes (GNS) equations with fractional dissipative terms (−∆)αu. It is proved that if div(u/|u|) ∈ Lp(0, T ;Lq(R3)) with 2α p + 3 q ≤ 2α− 3 2 , 6 4α− 3 < q ≤ ∞. then any smooth on GNS in [0, T ) remains smooth on [0, T ].
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تاریخ انتشار 2010