Navier-Stokes System on the Unit Square with no Slip Boundary Condition

Efim Dinaburg; Dong Li; Yakov G. Sinai

doi:10.1007/s10955-010-0051-4

Navier-Stokes System on the Unit Square with no Slip Boundary Condition

Efim Dinaburg, Dong Li, Yakov G. Sinai

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1 Scopus citations

Abstract

We consider the two-dimensional Navier-Stokes system on the unit square with no-slip boundary condition. The nonlinear evolution equation for the stream function is studied. Under some hypothesis, we show that the decay of Fourier modes of solutions is power-like.

Original language	English (US)
Pages (from-to)	342-358
Number of pages	17
Journal	Journal of Statistical Physics
Volume	141
Issue number	2
DOIs	https://doi.org/10.1007/s10955-010-0051-4
State	Published - 2010

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

Navier-Stokes equations

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10.1007/s10955-010-0051-4

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title = "Navier-Stokes System on the Unit Square with no Slip Boundary Condition",

abstract = "We consider the two-dimensional Navier-Stokes system on the unit square with no-slip boundary condition. The nonlinear evolution equation for the stream function is studied. Under some hypothesis, we show that the decay of Fourier modes of solutions is power-like.",

keywords = "Navier-Stokes equations",

author = "Efim Dinaburg and Dong Li and Sinai, {Yakov G.}",

note = "Funding Information: Acknowledgements The authors thank G. Falkovich, S. Pirogov, A. Shnirelman, V. Yakhot and the anonymous referees for useful remarks, discussions and suggestions. The financial support from NSF, grant DMS 0908032, given to the second author and grant DMS060096, given to the third author are highly appreciated. Copyright: Copyright 2010 Elsevier B.V., All rights reserved.",

year = "2010",

doi = "10.1007/s10955-010-0051-4",

language = "English (US)",

volume = "141",

pages = "342--358",

journal = "Journal of Statistical Physics",

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T1 - Navier-Stokes System on the Unit Square with no Slip Boundary Condition

AU - Dinaburg, Efim

AU - Li, Dong

AU - Sinai, Yakov G.

N1 - Funding Information: Acknowledgements The authors thank G. Falkovich, S. Pirogov, A. Shnirelman, V. Yakhot and the anonymous referees for useful remarks, discussions and suggestions. The financial support from NSF, grant DMS 0908032, given to the second author and grant DMS060096, given to the third author are highly appreciated. Copyright: Copyright 2010 Elsevier B.V., All rights reserved.

PY - 2010

Y1 - 2010

N2 - We consider the two-dimensional Navier-Stokes system on the unit square with no-slip boundary condition. The nonlinear evolution equation for the stream function is studied. Under some hypothesis, we show that the decay of Fourier modes of solutions is power-like.

AB - We consider the two-dimensional Navier-Stokes system on the unit square with no-slip boundary condition. The nonlinear evolution equation for the stream function is studied. Under some hypothesis, we show that the decay of Fourier modes of solutions is power-like.

KW - Navier-Stokes equations

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EP - 358

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 2

ER -

Navier-Stokes System on the Unit Square with no Slip Boundary Condition

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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