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math-ph2019★ 6 cited
Rigorous bounds on the heat transport of rotating convection with Ekman pumping
B. Pachev, J. P. Whitehead, G. Fantuzzi +1
We establish rigorous upper bounds on the time-averaged heat transport for a model of rotating Rayleigh-Benard convection between no-slip boundaries at infinite Prandtl number and…
math.AP2019
Algebraic Bounds on the Rayleigh-Bénard attractor
Yu Cao, Michael S. Jolly, Edriss S. Titi +1
The Rayleigh-Bénard system with stress-free boundary conditions is shown to have a global attractor in each affine space where velocity has fixed spatial average. The physical prob…