ON LERAYS SELF-SIMILAR SOLUTIONS OF THE NAVIER-STOKES EQUATIONS SATISFYING - LOCAL ENERGY ESTIMATES

Authors
TSAI TP
Citation
Tp. Tsai, ON LERAYS SELF-SIMILAR SOLUTIONS OF THE NAVIER-STOKES EQUATIONS SATISFYING - LOCAL ENERGY ESTIMATES, Archive for Rational Mechanics and Analysis, 143(1), 1998, pp. 29-51
Citations number
45
Categorie Soggetti
Mathematics, Miscellaneous",Mechanics,"Mathematics, Miscellaneous
Journal title
Archive for Rational Mechanics and Analysis → ACNP
ISSN journal
00039527
Volume
143
Issue
1
Year of publication
1998
Pages
29 - 51
Database
ISI
SICI code
0003-9527(1998)143:1<29:OLSSOT>2.0.ZU;2-9
Abstract
This paper proves that Leray's self-similar solutions of the three-dim ensional Navier-Stokes equations must be trivial under very general as sumptions, fbr example, if they satisfy local energy estimates.