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Simulations show energy flowing steadily to large scales under stirring, but no experiment has yet shown such a lasting flow of energy.","posed_since":"","precise":"In a 2D compressible Bose-Einstein condensate described by the Gross-Pitaevskii equation, forced at scales of a few healing lengths or larger, does a stationary inverse energy cascade with $E(k) \\sim k^{-5/3}$ and constant upscale flux over a decade form in experiment, and how do compressibility, sound emission, vortex-antivortex annihilation and damping set the conditions for it? Answer: yes or no for given conditions, with the measured flux.","problem_ref":null,"references":"","settled_by":"A forced $2\\mathrm{D}$ condensate experiment showing a stationary $k^{-5/3}$ range with measured constant upscale flux over a decade, or a demonstration that none forms under stated conditions.","status_note":"Gross-Pitaevskii simulations with stirred obstacles report an inverse cascade with a $k^{-5/3}$ range (Reeves, Billam, Anderson, Bradley, PRL 2013); Onsager clusters were observed in decaying experiments (2019); no experiment has shown a stationary forced cascade with measured constant upscale flux.","title":"Steady inverse energy cascade in forced two-dimensional quantum 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