3 papers
physics.flu-dyn2024
A modern approach to the Kelvin-Helmholtz instability on circular vortex sheets
Galen Wilcox, Ryan Murray
We represent the outermost shear interface of an eddy by a circular vortex sheet in two dimensions, and provide a new proof of linear instability via the Birkhoff-Rott equation. Li…
physics.flu-dyn2023
Non-Linear Singularity Formation for Circular Vortex Sheets
Ryan Murray, Galen Wilcox
We study the evolution of vortex sheets according to the Birkhoff-Rott equation, which describe the motion of sharp shear interfaces governed by the incompressible Euler equation i…
physics.flu-dyn2022
The Influence of Vortex Sheet Geometry on the Kelvin-Helmholtz Instability
Ryan Murray, Galen Wilcox
This article revisits the instability of sharp shear interfaces, also called vortex sheets, in incompressible fluid flows. We study the Birkhoff-Rott equation, which describes the…