Friday, September 18, 2020 at 2:00pm to 3:00pm
Matt Novack, NYU
The 3D quasi-geostrophic equation is a model used in climatology to model the evolution of the atmosphere for small Rossby numbers. The surface quasi-geostrophic equation (SQG) is a special case where the atmosphere above the earth is at rest. The evolution then depends only on the boundary condition, and can be reduced to a 2D model. In this talk, we consider the full 3D QG and describe recent progress on the questions of both non-uniqueness of weak solutions and existence of strong and weak solutions on cylindrical domains. In each setting, the boundary conditions will play a crucial role.
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