Stephen C. Preston

collaborators

2 papers

math.AP2026

Exact non-stationary solutions of the Euler equations in two and three dimensions

Patrick Heslin, Stephen C. Preston

We develop, via Arnold's geometric framework, a mechanism for constructing explicit, smooth, global-in-time, and typically non-stationary solutions of the incompressible Euler equa…

math.AP2025

Breakdown of smooth solutions to the subcritical EPDiff equation

Martin Bauer, Stephen C. Preston, Justin Valletta

We consider the EPDiff equation on $R^{n}$ with the integer-order homogeneous Sobolev inertia operator $A = (- I^)^{k}$ . We prove that for arbitrary radial initial data and a sig…