Advances in Differential Equations
- Adv. Differential Equations
- Volume 15, Number 5/6 (2010), 531-560.
A priori bounds for the vorticity of axially symmetric solutions to the Navier-Stokes equations
We obtain a pointwise, a priori bound for the vorticity of axially symmetric solutions to the three-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 upper bound established for the axially symmetric Navier-Stokes equations.
Adv. Differential Equations Volume 15, Number 5/6 (2010), 531-560.
First available in Project Euclid: 18 December 2012
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Loftus, Jennifer Burke; Zhang, Qi S. A priori bounds for the vorticity of axially symmetric solutions to the Navier-Stokes equations. Adv. Differential Equations 15 (2010), no. 5/6, 531--560.https://projecteuclid.org/euclid.ade/1355854680