On Regularity Criteria in Conjunction with the Pressure of the Navier-Stokes Equations
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چکیده
We present new regularity criteria involving the integrability of the pressure for the Navier-Stokes equations in bounded domains with smooth boundaries. We prove that either if the pressure belongs to L x,t with 3/γ + 2/q ≤ 2 and 3/2 < γ ≤ ∞ or if the gradient of the pressure belongs to L x,t with 3/γ+2/q ≤ 2 and 1 < γ ≤ ∞, thenweak solutions are regular. Local regularity criteria in terms of pressure are also established near a flat boundary as well as in the interior for suitable weak solutions.
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تاریخ انتشار 2006