@article{f8e784eae50843c6a45fa20ad047426e,
title = "Navierstokes system on the flat cylinder and unit square with slip boundary conditions",
abstract = "We study the decay of Fourier modes of solutions to the two-dimensional NavierStokes System on a flat cylinder and the unit square with slip boundary conditions. Under some suitable assumptions on the initial velocity, we obtain quantitative decay estimates of the Fourier modes.",
keywords = "Navier-Stokes equations",
author = "Efim Dinaburg and Dong Li and Sinai, {Yakov G.}",
note = "Funding Information: We thank C. Bardos, G. Seregin, E. Titi, V. Yakhot for numerous useful discussions. The first author acknowledges the support from the grant NCNIL 07-01-9221. The second author is supported in part by NSF 0908032 and a start-up funding from the Mathematics Department of the University of Iowa. The third author acknowledges the financial support from NSF grant DMS 0600996.",
year = "2010",
month = apr,
doi = "10.1142/S0219199710003828",
language = "English (US)",
volume = "12",
pages = "325--349",
journal = "Communications in Contemporary Mathematics",
issn = "0219-1997",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "2",
}