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math.AP2024
A geometric characterization of steady laminar flow
Theodore D. Drivas, Marc Nualart
We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non-contractible streamlines which…
math.DS2024★ 2 cited
Pensive billiards, point vortices, and the silver ratio
Theodore D. Drivas, Daniil Glukhovskiy, Boris Khesin
We define a new class of plane billiards - the `pensive billiard' - in which the billiard ball travels along the boundary for some distance depending on the incidence angle before…
physics.flu-dyn2024★ 2 cited
Singular vortex pairs follow magnetic geodesics
Theodore D. Drivas, Daniil Glukhovskiy, Boris Khesin
We consider pairs of point vortices having circulations and and confined to a two-dimensional surface . In the limit of zero initial separation , we pro…