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We obtain a pointwise, a priori bound for the vorticity of axis symmetricsolutions to the 3 dimensional Navier-Stokes equations. The bound is in theform of a reciprocal of a power of the distance to the axis of symmetry. Thisseems to be the first general pointwise estimate established for the axissymmetric Navier-Stokes equations.

A Priori Bounds for the Vorticity of Axis Symmetric Solutions to the Navier-Stokes Equations