Geometric investigations of a vorticity model equation

Martin Bauer, Boris Kolev, Stephen C. Preston

This article consists of a detailed geometric study of the one-dimensional vorticity model equation $$ω_{t} + uω_{x} + 2ωu_{x} = 0, \qquad ω= H u_{x}, \qquad t\in\mathbb{R},\; x\in…