Inviscid Large deviation principle and the 2D Navier Stokes equations with a free boundary condition

Details Inviscid Large deviation principle and the 2D Navier Stokes equations with a free boundary condition Inviscid Large deviation principle and the 2D Navier Stokes equations with a free boundary condition

2010-11-19

arxiv.org/abs/1011.4351v1

Mathematics

Probability

Scientific paper

Using a weak convergence approach, we prove a LPD for the solution of 2D stochastic Navier Stokes equations when the viscosity converges to 0 and the noise intensity is multiplied by the square root of the viscosity. Unlike previous results on LDP for hydrodynamical models, the weak convergence is proven by tightness properties of the distribution of the solution in appropriate functional spaces.

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