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

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

2008-11-11

arxiv.org/abs/0811.1609v2

Mathematics

Analysis of PDEs

one reference added; some notations changed and typos cleared following suggestions by Prof. T.P. Tsai

Scientific paper

We obtain a pointwise, a priori bound for the vorticity of axis symmetric
solutions to the 3 dimensional Navier-Stokes equations. The bound is in the
form of a reciprocal of a power of the distance to the axis of symmetry. This
seems to be the first general pointwise estimate established for the axis
symmetric Navier-Stokes equations.

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