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.
- Publication:
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Journal of Statistical Physics
- Pub Date:
- October 2010
- DOI:
- 10.1007/s10955-010-0051-4
- Bibcode:
- 2010JSP...141..342D
- Keywords:
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- Navier-Stokes equations