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

Hakima Bessaih, Annie Millet

Type: Preprint

Publication Date: 2010-11-19

Citations: 17

Abstract

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.

Locations

arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

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