Large deviations for the Boussinesq Equations under Random Influences

Details Large deviations for the Boussinesq Equations under Random Influences Large deviations for the Boussinesq Equations under Random Influences

2008-02-10

arxiv.org/abs/0802.1335v3

Stochastic Processes and their Applications 119, 6 (2009) 2052-2081

Mathematics

Probability

30 pages

Scientific paper

10.1016/j.spa.2008.10.004

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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