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

Author： Dinaburg Efim   Li Dong   Sinai Yakov  

Publisher： Springer Publishing Company

ISSN： 0022-4715

Source： Journal of Statistical Physics, Vol.141, Iss.2, 2010-10, pp. : 342-358

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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.

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