Regularity Issue of the Navier-Stokes Equations Involving the Combination of Pressure and Velocity Field
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We establish some regularity criteria for the incompressible Navier-Stokes equations in a bounded three-dimensional domain concerning the quotients of the pressure, the velocity field and the pressure gradient.
KeywordsNavier-Stokes equations Regularity criterion A priori estimates
Mathematics Subject Classification35B45 35B65 76D05
© Springer Science+Business Media B.V. 2012