The Matsuno-Gill Model on the Sphere - Extended Analysis and Applications

Explore an in-depth analysis of the Matsuno-Gill model extended to the surface of a sphere in this 36-minute talk by Ofer Shamir at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the complexities of planetary-scale fluid flows as the speaker compares the original equatorial β-plane model with its spherical counterpart. Discover how the introduction of a second parameter, the rotation rate, affects the model's behavior and solutions. Examine the accuracy of the β-plane approximation under various conditions and learn about different approximations applicable to specific regions of the parameter space. Gain insights into the altered eigenmodes of the free system on a sphere and understand how this impacts the long-term response to symmetric forcing. Compare the relevance of these models to Earth's oceans, troposphere, and stratosphere, as well as to other planetary bodies like Venus and Titan. This talk, part of the Thematic Programme on "The Dynamics of Planetary-scale Fluid Flows," offers a comprehensive look at the advancements in modeling planetary fluid dynamics.