32 citations · 135 across the 28 of their papers we have counts for
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math.AP2015★ 1 cited
Lagrangian aspects of the axisymmetric Euler equation
Stephen C. Preston, Alejandro Sarria
In this paper we are interested in geometric aspects of blowup in the axisymmetric 3D Euler equations with swirl on a cylinder. Writing the equations in Lagrangian form for the flo…
math.AP2015★ 32 cited
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…
math.DG2015
Geometry of the contactomorphism group
Boramey Chhay, Stephen C. Preston
In this paper we examine the Riemannian geometry of the group of contactomorphisms of a compact contact manifold. We compute the sectional curvature of in the se…