The 41st meeting of the Sandbox Series will be held via Webex:
https://stuod.my.webex.com/stuod.my/j.php?MTID=m67caea8c4cf9d709a92eaf2dd2ca89b7
Hasselmann’s paradigm in 3D via (LA)-SALT
Abstract:
The Crisan–Holm–Korn (2023) paper realises Hasselmann’s paradigm — fast stochastic atmosphere driving a slow deterministic ocean — in a 2D coupled (LA)-SALT model. I present a 3D extension at the discrete level, on Delaunay–Voronoi meshes. The reformulation is more than a translation. In finite dimensions, the two Kelvin circulation theorems — one per component — hold pathwise on discrete cycles rather than in expectation, and CHK’s infinite-dimensional machinery collapses to elementary SDE theory. Energy estimates yield global existence. The discrete LA-SALT system recovers Hasselmann’s red-spectrum mechanism as a closed linear ODE; I close by sketching how an Ornstein–Uhlenbeck-coloured stochastic ocean would extend the framework to genuine two-time-scale dynamics.
Schedule
1200-1300: Peter Korn
1300-1400: Discussion & close