An algebraic reduction of the scaling gap' in the Navier-Stokes regularity problem

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Zoran Grujic , University of Virginia
Fine Hall 322

Please note special time (5:30).  It is shown--within a mathematical framework based on the suitably defined scale of sparseness of the super-level sets of the positive and negative parts of the vorticity components--that the ever-resisting `scaling gap' in the 3D Navier-Stokes regularity problem can be reduced by an algebraic factor; all preexisting improvements have been logarithmic in nature, regardless of the functional set up utilized. The mathematics was inspired by morphology of the regions of intense vorticity/velocity gradients observed in computational simulations of turbulent flows. This is a joint work with A. Farhat and Z. Bradshaw.