Journal of Statistical Physics

, Volume 141, Issue 2, pp 342–358 | Cite as

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

  • Efim Dinaburg
  • Dong Li
  • Yakov G. Sinai


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.


Navier-Stokes equations 


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Institute of Physics of EarthRussian Academy of SciencesMoscowRussia
  2. 2.Department of MathematicsUniversity of IowaIowa CityUSA
  3. 3.Mathematics DepartmentPrinceton UniversityPrincetonUSA
  4. 4.Landau Institute of Theoretical PhysicsMoscowRussia

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