3 papers
math.AP2025
The onset of instability for zonal stratospheric flows
Adrian Constantin, Pierre Germain, Zhiwu Lin +1
We investigate some qualitative aspects of the dynamics of the Euler equation on a rotating sphere that are relevant or stratospheric flows. Zonal flow dominates the dynamics of th…
physics.flu-dyn2024
The onset of filamentation on vorticity interfaces in two-dimensional Euler flows
David Dritschel, Adrian Constantin, Pierre Germain
Two-dimensional Euler flows, in the plane or on simple surfaces, possess a material invariant, namely the scalar vorticity normal to the surface. Consequently, flows with piecewise…
math.AP2024
On the onset of filamentation on two-dimensional vorticity interfaces
Adrian Constantin, David Dritschel, Pierre Germain
We study an asymptotic nonlinear model for filamention on two-dimensional vorticity interfaces. Different re-formulations of the model equation reveal its underlying structural pro…