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On the energy equality of Navier–Stokes equations in general unbounded domains

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Abstract

We present a sufficient condition for the energy equality of Leray–Hopf’s weak solutions to the Navier–Stokes equations in general unbounded 3-dimensional domains.

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Authors and Affiliations

  1. Department of Mathematics, Technische Universität Darmstadt, 64289, Darmstadt, Germany

    Reinhard Farwig

  2. Center of Smart Interfaces (CSI), Technische Universität Darmstadt, 64287, Darmstadt, Germany

    Reinhard Farwig

  3. Department of Mathematical Sciences, Shinshu University, Matsumoto, 390-8621, Japan

    Yasushi Taniuchi

Authors
  1. Reinhard Farwig
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  2. Yasushi Taniuchi
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Corresponding author

Correspondence to Reinhard Farwig.

Additional information

The second author of this article greatly acknowledges the support of the Alexander von Humboldt Foundation during his stay in 2009/10 at Technische Universität Darmstadt.

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Farwig, R., Taniuchi, Y. On the energy equality of Navier–Stokes equations in general unbounded domains. Arch. Math. 95, 447–456 (2010). https://doi.org/10.1007/s00013-010-0187-0

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  • DOI: https://doi.org/10.1007/s00013-010-0187-0

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