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arXiv · 1704.03840

Hydrodynamic stability in the presence of a stochastic forcing:a case study in convection

Juraj Földes·Nathan Glatt-Holtz·Geordie Richards·Jared Whitehead
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Abstract

We investigate the stability of statistically stationary conductive states for Rayleigh-B\'enard convection that arise due to a bulk stochastic internal heating. Our results indicate that stochastic forcing at small magnitude has little to no effect, while strong stochastic forcing has a destabilizing effect. The methodology put forth in this article, which combines rigorous analysis with careful computation, provides an approach to hydrodynamic stability which is applicable to a variety of systems subject to a large scale stochastic forcing.

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Juraj Földes, Nathan Glatt-Holtz, Geordie Richards, Jared Whitehead. 2017-04-12. Hydrodynamic stability in the presence of a stochastic forcing:a case study in convection. https://arxiv.org/abs/1704.03840

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