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Large deviations for the Boussinesq Equations under Random Influences

Probability 2009-05-12 v3

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.

Keywords

Cite

@article{arxiv.0802.1335,
  title  = {Large deviations for the Boussinesq Equations under Random Influences},
  author = {Jinqiao Duan and Annie Millet},
  journal= {arXiv preprint arXiv:0802.1335},
  year   = {2009}
}

Comments

30 pages

R2 v1 2026-06-21T10:11:17.780Z