Large deviations for the Boussinesq equations under random influences
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.
Year of publication: |
2009
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Authors: | Duan, Jinqiao ; Millet, Annie |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 119.2009, 6, p. 2052-2081
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Publisher: |
Elsevier |
Keywords: | Boussinesq equations Benard convection Large deviations Stochastic PDEs Stochastic Navier-Stokes equations Impact of noise on system evolution Multiplicative noise |
Saved in:
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