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We investigate the stability of statistically stationary conductive states for Rayleigh-B\'enard convection that arise due to a bulk stochastic internal heating.
L. Rayleigh, On convection currents in a horizontal layer of fluid, when the higher temperature is on the under side, Philosophical Magazine and Journal of Science 32 (192) (1916) 529–546
1916
Earlier work this paper cites.
R. Graham, H. Pleiner, Mode- mode coupling theory of the heat convection threshold, The Physics of Fluids 18 (2) (1975) 130–140
1975
Earlier work this paper cites.
J. Swift, P. C. Hohenberg, Hydrodynamic fluctuations at the convective instability, Physical Review A 15 (1) (1977) 319–328
1977
Earlier work this paper cites.
G. Ahlers, M. C. Cross, P. C. Hohenberg, S. Safran, The amplitude equation near the convective threshold: application to time-dependent heating experiments, Journal of Fluid Mechanics 110 (1981) 297–334
1981
Earlier work this paper cites.
C. W. Meyer, G. Ahlers, D. S. Cannell, Stochastic influences on pattern formation in rayleigh-bénard convection: Ramping experiments, Physical Review A 44 (4) (1991) 2514–2537
1991
Earlier work this paper cites.
P. C. Hohenberg, J. Swift, Effects of additive noise at the onset of rayleigh-bénard convection, Physical Review A 46 (8) (1992) 4773–4785
1992
Earlier work this paper cites.
G. Da Prato, J. Zabczyk, Stochastic equations in infinite dimensions, Vol. 44 of Encyclopedia of Mathematics and its Applications, Cambridge University Press, 1992
1992
Earlier work this paper cites.
R. Kippenhahn, A. Weigert, Stellar Structure and Evolution, Springer, 1994
1994
Earlier work this paper cites.
C. R. Doering, J. D. Gibbon, Applied Analysis of the Navier-Stokes Equations., Cambridge University Press, 1995
1995
Earlier work this paper cites.
G. Da Prato, J. Zabczyk, Ergodicity for infinite-dimensional systems, Vol. 229 of London Mathematical Society Lecture Note Series, Cambridge University Press, Cambridge, 1996
1996
Earlier work this paper cites.
O. Kallenberg, O. Kallenberg, Foundations of modern probability, Vol. 2, Springer, 1997
1997
Cited alongside, same era.
G. Schubert, D. L. Turcotte, P. Olson, Mantle convection in the Earth and Planets, Cambridge University Press, 2001
2001
Cited alongside, same era.
P. G. Drazin, W. H. Reid, Hydrodynamic Stability, Cambridge University Press, 2004
2004
Cited alongside, same era.
doi:10.1103/PhysRevE.69.021106
J. Oh, J. M. Ortiz de Zárate, J. V. Sengers, G. Ahlers, Dynamics of fluctuations in a fluid below the onset of rayleigh-bénard convection , Phys. Rev. E 69 (2004) 021106 · 2004
Cited alongside, same era.
X. Wang, Infinite Prandtl number limit of Rayleigh-Bénard convection, Communications in Pure and Applied Mathematics 57 (2004) 1265–1285
2004
Cited alongside, same era.
F. Chillà, J. Schumacher, New perspectives in turbulent rayleigh-bénard convection, The European Physical Journal E 35 (7) (2012) 1–25
2012
Later among the works it cites.
D. Venturi, M. Choi, G. Karniadakis, Supercritical quasi-conduction states in stochastic rayleigh–bénard convection, International Journal of Heat and Mass Transfer 55 (13) (2012) 3732–3743
2012
Later among the works it cites.
S. Kuksin, A. Shirikyan, Mathematics of Two-Dimensional Turbulence, no. 194 in Cambridge Tracts in Mathematics, Cambridge University Press, 2012
2012
Later among the works it cites.
S. P. Meyn, R. L. Tweedie, Markov chains and stochastic stability, Springer Science & Business Media, 2012
2012
Later among the works it cites.
D. Goluskin, Internally heated convection and Rayleigh-Bénard convection, Springer, 2015
2015
Later among the works it cites.
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2005
Cited alongside, same era.
M. Hairer, J. C. Mattingly, Ergodicity of the 2d navier-stokes equations with degenerate stochastic forcing, Annals of Mathematics (2006) 993–1032
2006
Cited alongside, same era.
X. Wang, Asymptotic behavior of global attractors to the Boussinesq system for Rayleigh-Bénard convection at large Prandtl number, Communications in Pure and Applied Mathematics 60 (9) (2007) 1293–1318
2007
Cited alongside, same era.
X. Wang, Stationary statistical properties of Rayleigh-Bénard convection at large Prandtl number, Communications in Pure and Applied Mathematics 61 (2008) 789–815
2008
Cited alongside, same era.
G. Ahlers, S. Grossmann, D. Lohse, Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection, Review of Modern Physics 81 (2009) 503–537
2009
Cited alongside, same era.
H. Bénard, Les Tourbillons cellulaires dans une nappe liquide, Revue génórale des Sciences pures et appliquées 11 (1900) 1261–1271
Cited in the paper.
J. Földes, N. Glatt-Holtz, G. Richards, Large prandtl number asymptotics in randomly forced turbulent convection, submitted
Cited in the paper.
J. Földes, N. Glatt-Holtz, G. Richards, E. Thomann, Ergodic and mixing properties of the boussinesq equations with a degenerate random forcing, Journal of Functional Analysis 269 (8) (2015) 2427–2504
2015
Later among the works it cites.
D. Goluskin, Internally heated convection beneath a poor conductor, Journal of Fluid Mechanics 771 (2015) 36–56
2015
Later among the works it cites.
J. Földes, N. Glatt-Holtz, G. Richards, J. P. Whitehead, Ergodicity in randomly forced Rayleigh-Bénard convection, Nonlinearity 29 (11) (2016) 3309–3345
2016
Later among the works it cites.
N. Sandrić, A note on the birkhoff ergodic theorem, Results in Mathematics 72 (1) (2017) 715–730
2017
Closest in time.
M. Hairer, J. C. Mattingly, Spectral gaps in wasserstein distances and the 2d stochastic navier-stokes equations, The Annals of Probability (2008) 2050–2091
2091
Closest in time.