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The Navier–Stokes Equations in a Space of Bounded Functions

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Abstract

We establish a blow-up rate of the Navier–Stokes equations subject to the non-slip boundary condition for a certain class of domains including bounded and exterior domains.

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Author notes

  1. Ken Abe

    Present address: Department of Mathematics, Faculty of Science, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto, 606-8502, Japan

Authors and Affiliations

  1. Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya, 464-8602, Japan

    Ken Abe

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  1. Ken Abe
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Correspondence to Ken Abe.

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Communicated by L. Caffarelli

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Abe, K. The Navier–Stokes Equations in a Space of Bounded Functions. Commun. Math. Phys. 338, 849–865 (2015). https://doi.org/10.1007/s00220-015-2349-1

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  • DOI: https://doi.org/10.1007/s00220-015-2349-1

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