Analytical and Computational Challenges of Incompressible Flows at High Reynolds Number

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A Sufficient Condition of Regularity for Axially Symmetric Solutions to the Navier-Stokes Equations

                   Gregory Seregin

                                  Laboratory of Mathematical Physics at Petersburg Department,
                        Steklov Institute of Mathematics 

Abstract: In my talk, I would like to discuss a sufficient condition of local regularity for suitable weak solutions to the Navier-Stokes equations having axial symmetry. This condition is an axially symmetric analog of the so-called case in the general local regularity theory.
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