Abstract
A theory is presented for Pierrehumbert's three-dimensional short-wave inviscid instability of the simple two-dimensional elliptical flow with velocity field . The fundamental modes, which are also exact solutions of the nonlinear equations, are plane waves whose wave vector rotates elliptically around the axis with period . The growth rates are the exponents of a matrix Floquet problem, and agree with those calculated by Pierrehumbert.
- Received 28 July 1986
DOI:https://doi.org/10.1103/PhysRevLett.57.2160
©1986 American Physical Society