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20232026
most citedCompleteness and geodesic distance properties for fractional Sobolev metrics on spaces of immersed curves

3 citations · 3 across the 4 of their papers we have counts for

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math.AP2026

Distance Geometry and a Hydrodynamical Hopf-Rinow Criterion

Theodore D. Drivas, Patrick Heslin, Gerard Misiołek

The hydrodynamical Hopf-Rinow problem asks whether a given reconfiguration of an ideal fluid can be attained by an Euler flow. On the flat two-dimensional torus, we give an equival…

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…