3 papers
math.AP2026
Geometry of strong forces in continuum mechanics
Theodore D. Drivas, Daniil Glukhovskiy
Consider a material point in finite dimensions moving under the influence of a potential force according to Newton's laws. Suppose the potential energy function is a generalized we…
math.DS2024
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
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…