# gst: rigorous ultimate scaling in rapidly rotating steady convection.

<< ️Rapidly rotating Rayleigh-Bénard convection admits a class of exact steady single-mode solutions describing high-amplitude convection cells. Using a matched asymptotic analysis in the high-Rayleigh-number limit, (AA) obtain a rigorous characterization of their bulk and boundary-layer structure, yielding explicit scaling laws for the Nusselt and Reynolds numbers, including their dependence on the horizontal wavenumber. >>

<< (They) show that, for suitable wavenumbers, these solutions attain the diffusivity-free ultimate scalings frequently assumed for geophysical and astrophysical convection, with additional enhancing logarithmic corrections. This reveals a specific mechanism through which rapidly rotating convection can approach ultimate heat transport via coherent columnar structures with well-defined horizontal scales. >>

Gabriel Hadjerci, Shingo Motoki, Genta Kawahara. Rigorous ultimate scaling in rapidly rotating steady convection. arXiv: 2605.05574v1 [physics.flu-dyn]. May 7, 2026.

https://arxiv.org/abs/2605.05574

Also: waves, vortex, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, waves, vortex, convection, convection cells, Rayleigh-Bénard convection, bulk and boundary-layer structure, rotation, rotating convection.