2 papers
physics.flu-dyn2026
Extension of a mathematical analogy between vortical flows without surface tension and irrotational capillary flows
Valentin D. Kunz, Saleh Tanveer, Darren G. Crowdy
In a recent paper, a mathematical analogy was found between two physically distinct classes of two-dimensional free boundary problems in inviscid fluid mechanics. One class involve…
math-ph2026
A mathematical analogy between certain hollow vortex and bubble flows - existence, uniqueness, and identical boundary shapes
Valentin D. Kunz, Saleh Tanveer, Darren G. Crowdy
We study two physically distinct steady free-boundary problems in a two-dimensional inviscid fluid: a hollow vortex in a constant-vorticity flow subject to simple shear, third orde…