Pearce Washabaugh

activity

20122019

most citedThe SQG Equation as a Geodesic Equation

11 citations · 24 across the 5 of their papers we have counts for

collaborators

Showing math.DGShow all

3 papers · 1 filter

math.DG2016★ 2 cited

Global Existence and Blowup for Geodesics in Universal Teichmüller Spaces

Stephen C. Preston, Pearce Washabaugh

In this paper we prove that all initially-smooth solutions of the Euler-Weil-Petersson equation, which describes geodesics on the universal Teichmüller space under the Weil-Peterss…

math.DG2015★ 11 cited

The SQG Equation as a Geodesic Equation

Pearce Washabaugh

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

math.DG2014

The Geometry of Axisymmetric Ideal Fluid Flows with Swirl

Pearce Washabaugh, Stephen C. Preston

The sectional curvature of the volume preserving diffeomorphism group of a Riemannian manifold $M$ can give information about the stability of inviscid, incompressible fluid flows…