Large deviation principle for a stochastic navier-Stokes equation in
its vorticity form for a two-dimensional incompressible flow
Anna Amirdjanova - Department of Statistics, University of Michigan, 439 West Hall, 1085 S. University Ave., Ann Arbor, MI 48109-1107, United States (email)
Abstract: We derive a large deviation principle for a stochastic Navier-Stokes equation for the vorticity of a two-dimensional fluid when the magnitude of the random term tends to zero. The key is the verification of the exponential tightness for the stochastic vorticity.
Keywords: Large deviation principle, stochastic Navier-Stokes equation, vorticity,
Received: February 2005; Revised: September 2005; Available Online: April 2006.
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