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On Leray's Self‐Similar Solutions of the Navier‐Stokes Equations Satisfying Local Energy Estimates

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Abstract.

This paper proves that Leray's self‐similar solutions of the three‐dimensional Navier‐Stokes equations must be trivial under very general assumptions, for example, if they satisfy local energy estimates.

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Authors and Affiliations

  1. School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455, USA; e‐:: ttsai@math.umn.edu, , , , , , US

    Tai‐Peng Tsai

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  1. Tai‐Peng Tsai
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(Accepted April 7, 1997)

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Tsai, T. On Leray's Self‐Similar Solutions of the Navier‐Stokes Equations Satisfying Local Energy Estimates. Arch Rational Mech Anal 143, 29–51 (1998). https://doi.org/10.1007/s002050050099

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  • DOI: https://doi.org/10.1007/s002050050099

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