Navierstokes system on the flat cylinder and unit square with slip boundary conditions

Efim Dinaburg; Dong Li; Yakov G. Sinai

doi:10.1142/S0219199710003828

Navierstokes system on the flat cylinder and unit square with slip boundary conditions

Efim Dinaburg
, Dong Li
, Yakov G. Sinai

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English (US)
Pages (from-to)	325-349
Number of pages	25
Journal	Communications in Contemporary Mathematics
Volume	12
Issue number	2
DOIs	https://doi.org/10.1142/S0219199710003828
State	Published - Apr 2010

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

Navier-Stokes equations

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10.1142/S0219199710003828

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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",

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journal = "Communications in Contemporary Mathematics",

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publisher = "World Scientific",

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T1 - Navierstokes system on the flat cylinder and unit square with slip boundary conditions

AU - Dinaburg, Efim

AU - Li, Dong

AU - Sinai, Yakov G.

N1 - 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.

PY - 2010/4

Y1 - 2010/4

N2 - 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.

AB - 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.

KW - Navier-Stokes equations

UR - https://www.scopus.com/pages/publications/77951565446

UR - https://www.scopus.com/pages/publications/77951565446#tab=citedBy

U2 - 10.1142/S0219199710003828

DO - 10.1142/S0219199710003828

M3 - Article

AN - SCOPUS:77951565446

SN - 0219-1997

VL - 12

SP - 325

EP - 349

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

IS - 2

ER -

Navierstokes system on the flat cylinder and unit square with slip boundary conditions

Abstract

All Science Journal Classification (ASJC) codes

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