We study the large time behavior of the energy of a
class of Navier-Stokes flows in $\mathbb{R}^n$ $(n\ge2)$ with
special symmetries. Inside this class, we construct examples of
solutions such that the energy norm decays faster than
$t^{-(n+2)/4}$.
Publié le : 2004-03-14
Classification:
Navier-Stokes equations,
time decay,
space decay,
symmetric solutions,
76D05,
35Q30,
35B40,
42C40
@article{1080928427,
author = {Brandolese, Lorenzo},
title = {Asymptotic behavior of the energy and pointwise
estimates for solutions to the Navier-Stokes equations},
journal = {Rev. Mat. Iberoamericana},
volume = {20},
number = {1},
year = {2004},
pages = { 223-256},
language = {en},
url = {http://dml.mathdoc.fr/item/1080928427}
}
Brandolese, Lorenzo. Asymptotic behavior of the energy and pointwise
estimates for solutions to the Navier-Stokes equations. Rev. Mat. Iberoamericana, Tome 20 (2004) no. 1, pp. 223-256. http://gdmltest.u-ga.fr/item/1080928427/