Analysis Seminar

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Recent Results for the 3D Quasi-Geostrophic System: Boundary Conditions and Non-Uniqueness

Speaker: Matthew NOVACK, CIMS

Location: Warren Weaver Hall 1302

Date: Thursday, September 12, 2019, 11 a.m.

Synopsis:

The 3D Quasi-Geostrophic system is a set of equations used in
meteorology to describe the evolution of the atmosphere. The surface
quasi-geostrophic equation (2D SQG) is a well-studied special case where
the atmosphere above the earth is at rest. In this talk, we will discuss
some recent results.  The first two derive the appropriate physical
boundary conditions for the 3D QG posed in a cylinder and construct
global in time weak solutions and local-in-time classical solutions. The
second result shows the non-uniqueness of weak solutions to the 3D model
via a convex integration argument.