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Boundary regularity for the Navier-Stokes equations in a half-space

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Abstract

Weak solutions to the nonstationary Navier-Stokes equations in a half-space are locally bounded at the boundary except for a closed set with finite one-dimensional Hausdorff measure.

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References

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

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  2. Solonnikoff, V.A.: Tr. Mat. Inst. Steklov70, 213–317 (1964); AMS Translations, Vol. 75

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    Vladimir Scheffer

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  1. Vladimir Scheffer
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Communicated by J. Glimm

This research was supported in part by the National Science Foundation Grant MCS-81-02737

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Scheffer, V. Boundary regularity for the Navier-Stokes equations in a half-space. Commun.Math. Phys. 85, 275–299 (1982). https://doi.org/10.1007/BF01254460

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  • DOI: https://doi.org/10.1007/BF01254460

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