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Article Dans Une Revue SIAM Journal on Mathematical Analysis Année : 2012

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

Résumé

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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Dates et versions

hal-00537662 , version 1 (18-11-2010)
hal-00537662 , version 2 (26-04-2012)

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Hakima Bessaih, Annie Millet. Inviscid Large deviation principle and the 2D Navier Stokes equations with a free boundary condition. SIAM Journal on Mathematical Analysis, 2012, 44 (3), pp.1861-1893. ⟨10.1137/110827235⟩. ⟨hal-00537662v2⟩
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