The 38th meeting of the Sandbox Series will be on:
Mathematical Analysis of Atmospheric and Oceanic Dynamics Models: Cloud Formation and Sea-ice Models
Abstract: In these talks we will present rigorous analytical results concerning global regularity, in the viscous case, and finite-time singularity, in the inviscid case, for oceanic and atmospheric dynamics models. Moreover, we will also provide a rigorous justification of the derivation of the Primitive Equations of planetary scale oceanic dynamics from the three-dimensional Navier-Stokes equations as the vanishing limit of the small aspect ratio of the depth to horizontal width. In addition, we will also show the global well-posedeness of the coupled three-dimensional viscous Primitive Equations with a micro-physics phase change moisture model for cloud formation. Eventually, we will also present short-time well-posedness of solutions to the Hibler’s sea-ice model.
Schedule
1200-1245: Edriss Titi
1245-1315: Discussion
1315-1325: Break
1325-1345: Mini-talk 1 – Daniel Baumer (University of Cambridge)
1345-1400: Mini-talk 2 – Oliver Street (Grantham Institute, Imperial College London)
1400-1430: Discussion & close