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Explore groundbreaking research on heat transport efficiency in convective flows during this 26-minute conference talk. Delve into the limitations of the Rayleigh-Bénard thermal convection setup and discover how radiative heating can lead to the 'ultimate' scaling-regime of thermal convection. Examine experimental and numerical evidence supporting this phenomenon, and investigate the maximum theoretical Nusselt number achievable in internally heated and cooled convection. Learn about steady laminar solutions that surpass the ultimate regime in heat transport efficiency and their stability in 2D and 3D environments. Gain insights into the upper bound of the Nusselt number for turbulent flows and its relationship to experimental and numerical data. Presented by Basile Gallet from the Commissariat à l'Énergie Atomique (CEA) as part of the Transport and Mixing in Complex and Turbulent Flows 2021 series at the Institute for Pure & Applied Mathematics (IPAM), UCLA.