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Nov 11
3:30 PM - 4:30 PM KAP 414
Lower bounds on the Navier - Stokes singular set
Walter Craig McMaster University

The well-known result of partial regularity for solutions of the Navier - Stokes equations provides an upper bound on the size of the singular set of (suitable) weak solutions. This talk will describe complementary lower bounds, both for the the singular set and the energy (L^2 norm) concentration set, in case that they are nonempty. The bounds are microlocal in nature, and are based on a novel estimate for weak solutions of the Navier - Stokes equations. These results, in part, represent joint work with A. Biryuk and M. Arnold.

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