03-252 Kuksin Sergei B.

The Eulerian limit for 2D statistical hydrodynamics (262K, post-script) 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.

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