The SQG Equation as a Geodesic Equation

Pearce Washabaugh

We demonstrate that the surface quasi-geostrophic (SQG) equation given by $${\theta }_t+⟨u,\nabla \theta ⟩=0,\theta =\nabla \times (-\Delta {)}^{-1/2}u,$$ is the geodesic equation on t…