- 03-252 Kuksin Sergei B.
- The Eulerian limit for 2D statistical hydrodynamics
Jun 3, 03
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Abstract. We consider the 2D Navier-Stokes system, perturbed by a random
force, proportional to the square root of the viscosity, and study
its solutions when the viscosity goes to zero. We prove that under
this limit the Reynolds number grows to infinity, and the
solutions converge in distribution to non-trivial stationary
solutions of the (free) Euler equation. We study the convergence
and the limiting solutions.