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

نویسندگان

  • JENNIFER BURKE
  • QI S. ZHANG
چکیده

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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تاریخ انتشار 2008