Large deviations for the Boussinesq equations under random influences

Jinqiao Duan and Annie Millet

Stochastic Processes and their Applications, 2009, vol. 119, issue 6, 2052-2081

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.

Keywords: Boussinesq; equations; Benard; convection; Large; deviations; Stochastic; PDEs; Stochastic; Navier-Stokes; equations; Impact; of; noise; on; system; evolution; Multiplicative; noise (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (10)

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