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

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.

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Bibliographic Details
Published in:Journal of statistical physics 2010-10, Vol.141 (2), p.342-358
Main Authors: Dinaburg, Efim, Li, Dong, Sinai, Yakov G.
Format: Article
Language:English
Subjects:
Fluid dynamics
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
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Summary: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.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-010-0051-4