On Distribution of Energy and Vorticity for Solutions of 2D Navier-Stokes Equation with Small Viscosity

Sergei Kuksin (1, 2)

1 CMLS - Centre de Mathématiques Laurent Schwartz
2 Department of Mathematics

We study distributions of some functionals of space-periodic solutions for the randomly perturbed 2D Navier-Stokes equation, and of their limits when the viscosity goes to zero. The results obtained give explicit information on distribution of the velocity field of space-periodic turbulent 2D flows.

Domaines: Equations aux dérivées partielles [math.AP]

Sergei Kuksin. On Distribution of Energy and Vorticity for Solutions of 2D Navier-Stokes Equation with Small Viscosity. Communications in Mathematical Physics, 2008, 284 (2), pp.407-424. ⟨10.1007/s00220-008-0577-3⟩. ⟨hal-00832704⟩