Article ID Journal Published Year Pages File Type
1156197 Stochastic Processes and their Applications 2009 30 Pages PDF
Abstract

A Boussinesq model for the Bénard 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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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