A new boundary problem for the two dimensional navier-stokes system

Efim Dinaburg; Dong Li; Yakov G. Sinai

doi:10.1007/s10955-009-9760-y

A new boundary problem for the two dimensional navier-stokes system

Efim Dinaburg, Dong Li, Yakov G. Sinai

Research output: Contribution to journal › Article

3 Scopus citations

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.

Original language	English (US)
Pages (from-to)	737-750
Number of pages	14
Journal	Journal of Statistical Physics
Volume	135
Issue number	4
DOIs	https://doi.org/10.1007/s10955-009-9760-y
State	Published - May 1 2009

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

Navier-Stokes equations

Access to Document

10.1007/s10955-009-9760-y

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Dinaburg, E., Li, D., & Sinai, Y. G. (2009). A new boundary problem for the two dimensional navier-stokes system. Journal of Statistical Physics, 135(4), 737-750. https://doi.org/10.1007/s10955-009-9760-y

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