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Estimates on the vorticity of solutions to the Navier-Stokes equations

1981; Springer Science+Business Media; Volume: 81; Issue: 3 Linguagem: Inglês

10.1007/bf01209074

1432-0916

Vladimir Scheffer,

Fluid Dynamics and Turbulent Flows

We estimate the vorticity of the flow of an incompressible, viscous, three dimensional fluid near the boundary of its container. We obtain a bound that is valid outside a small subset of space-time with special properties.