@article{9531351c1aa84275a3604d0eb066ae14,
title = "A new boundary problem for the two dimensional navier-stokes system",
abstract = "We formulate a new boundary value problem for the 2D Navier-Stokes system on the unit square. Under some suitable assumptions on the initial velocity, we obtain quantitative decay estimates of the Fourier modes of both the vorticity and the velocity. It is found that in one direction the Fourier modes decay exponentially and along the other direction their decay is only power like.",
keywords = "Navier-Stokes equations",
author = "Efim Dinaburg and Dong Li and Sinai, {Yakov G.}",
note = "Funding Information: Acknowledgements We thank C. Bardos, G. Seregin, E. Titi, V. Yakhot for numerous useful discussions. Special thanks go to N. Chernov for his collaboration, careful reading of the text and excellent numerical work which he did in connection with this paper. The first author acknowledges the support from the grant NCNIL 07-01-9221. The second author is supported in part by NSF DMS 0635607 and a start-up funding from Mathematics Department of University of Iowa. The third author acknowledges the financial support from NSF grant DMS 0600996.",
year = "2009",
month = may,
doi = "10.1007/s10955-009-9760-y",
language = "English (US)",
volume = "135",
pages = "737--750",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "4",
}