Hydrodynamic stability in the presence of a stochastic forcing:a case study in convection
Fluid Dynamics
2023-12-29 v2 Analysis of PDEs
Probability
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.
Keywords
Cite
@article{arxiv.1704.03840,
title = {Hydrodynamic stability in the presence of a stochastic forcing:a case study in convection},
author = {Juraj Földes and Nathan Glatt-Holtz and Geordie Richards and Jared Whitehead},
journal= {arXiv preprint arXiv:1704.03840},
year = {2023}
}