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

作者：Dinaburg Efim; Li Dong^*; Sinai Yakov G

来源：Journal of Statistical Physics, 2010, 141(2): 342-358.

DOI：10.1007/s10955-010-0051-4

• Navier-Stokes equations

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.

• 出版日期2010-10