4 papers
Classification of atmospheric traveling waves at cloud level
Adrian Constantin, Zhiwu Lin, Hao Zhu
We classify within the quasi-geostrophic framework all types of traveling waves in zonal bands of the planetary atmosphere at cloud level according to their wave speeds. This class…
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…
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…
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…