# Analysis Seminar

#### 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.