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

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Abstract

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.

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References

  1. Scheffer, V.: Commun. Math. Phys.73, 1–42 (1980)

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Communicated by J. Glimm

This research was supported in part by the National Science Foundation Grant MCS-7903361

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Scheffer, V. Estimates on the vorticity of solutions to the Navier-Stokes equations. Commun.Math. Phys. 81, 379–400 (1981). https://doi.org/10.1007/BF01209074

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  • DOI: https://doi.org/10.1007/BF01209074

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