Hydrodynamic Stability in the Presence of a Stochastic Forcing: A Case Study in Convection
Copyright policy )Hydrodynamic Stability in the Presence of a Stochastic Forcing: A Case Study in Convection
We investigate the stability of statistically stationary conductive states for Rayleigh-Bénard 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.
- Tulane University United States
- Brigham Young University Idaho United States
- Virginia Tech United States
- University of Guelph Canada
- University of Virginia United States
Rayleigh-Bénard convection, Probability (math.PR), Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Diffusive and convective heat and mass transfer, heat flow, Physics - Fluid Dynamics, nonlinear stability analysis, Boussinesq approximation, Mathematics - Analysis of PDEs, Free convection, Stochastic analysis applied to problems in fluid mechanics, FOS: Mathematics, eigenvalue problem, Nonlinear effects in hydrodynamic stability, critical growth factor, Convection in hydrodynamic stability, Mathematics - Probability, bulk stochastic internal heating, Analysis of PDEs (math.AP)
Rayleigh-Bénard convection, Probability (math.PR), Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Diffusive and convective heat and mass transfer, heat flow, Physics - Fluid Dynamics, nonlinear stability analysis, Boussinesq approximation, Mathematics - Analysis of PDEs, Free convection, Stochastic analysis applied to problems in fluid mechanics, FOS: Mathematics, eigenvalue problem, Nonlinear effects in hydrodynamic stability, critical growth factor, Convection in hydrodynamic stability, Mathematics - Probability, bulk stochastic internal heating, Analysis of PDEs (math.AP)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!