DIRECTION OF VORTICITY AND A REFINED BLOW-UP CRITERION FOR THE NAVIER-STOKES EQUATIONS WITH FRACTIONAL LAPLACIAN

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  • DIRECTION OF VORTICITY AND A REFINED BLOW-UP CRITERION FOR THE NAVIER-STOKES EQUATIONS WITH FRACTIONAL LAPLACIAN (Mathematical Analysis in Fluid and Gas Dynamics)

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We give a refined blow-up criterion for solutions of the 3D Navier-Stokes equations with fractional Laplacian. The criterion is composed by the direction field of the vorticity and its magnitude simultaneously. Our result is an improvement of previous results H. Beirao da Veiga and L. Berselli (2002), and D. Chae (2007).

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