Large deviations for the Boussinesq Equations under Random Influences

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.

30 pages

References in corpus (1)

• Large deviations for infinite dimensional stochastic dynamical systems

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