Archive for Rational Mechanics and Analysis

, Volume 143, Issue 1, pp 29–51

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

  • Tai‐Peng Tsai

DOI: 10.1007/s002050050099

Cite this article as:
Tsai, T. Arch Rational Mech Anal (1998) 143: 29. doi:10.1007/s002050050099


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