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Some New Regularity Criteria for the Navier-Stokes Equations Containing Gradient of the Velocity
Authors:Patrick Penel  Milan Pokorný
Institution:(1) Mathématique, Université de Toulon et du Var, 83957, La Garde, France
Abstract:We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.
Keywords:Navier-Stokes equations  regularity of systems of PDE's
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