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arXiv · 0802.1335

Large deviations for the Boussinesq Equations under Random Influences

Jinqiao Duan·Annie Millet
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Abstract

A Boussinesq model for the Benard convection under random influences is considered as a system of stochastic partial differential equations. This is a coupled system of stochastic Navier-Stokes equations and the transport equation for temperature. Large deviations are proved, using a weak convergence approach based on a variational representation of functionals of infinite dimensional Brownian motion.

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Jinqiao Duan, Annie Millet. 2008-11-07. Large deviations for the Boussinesq Equations under Random Influences. https://doi.org/10.1016/j.spa.2008.10.004

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