The Limits of Beta Plane Turbulence

Explore the dynamics of planetary-scale fluid flows in this 49-minute conference talk by Richard Scott, delivered as part of the Thematic Programme at the Erwin Schrödinger International Institute for Mathematics and Physics. Begin with a review of recent work on jet separation scales in relation to Rhines scale and deformation radius within the quasigeostrophic shallow-water system on the beta-plane. Examine how simple estimates based on straight-jet profiles require modification at small deformation radii due to extensive jet meandering. Investigate the simplification of flow structure when the Rhines scale exceeds the domain scale. Delve into new research suggesting flow condensation into a simple, stationary form with a single jet meandering around two compact vortices, and observe the transition in jet structure between small and large deformation radii. Conclude with a brief discussion on the relationship to the vorticity condensate obtained with beta=0, providing insights into the limits of beta plane turbulence.