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Zbl 1132.60316
Amirdjanova, Anna; Xiong, Jie
Large deviation principle for a stochastic Navier-Stokes equation in its vorticity form for a two-dimensional incompressible flow. (English)
[J] Discrete Contin. Dyn. Syst., Ser. B 6, No. 4, 651-666 (2006). ISSN 1531-3492; ISSN 1553-524X/e

Summary: 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.
MSC 2000:
*60H15 Stochastic partial differential equations
60F10 Large deviations
60K40 Physical appl. of random processes

Keywords: large deviation principle; stochastic Navier-Stokes equation; vorticity; exponential tightness

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