Archive for Rational Mechanics and Analysis

, Volume 143, Issue 1, pp 29–51 | Cite as

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

  • Tai‐Peng Tsai

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.

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Tai‐Peng Tsai
    • 1
  1. 1.School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455, USA; e‐:: ttsai@math.umn.eduUS

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