Abstract
Abstract We study an inviscid mixing layer in the beta-plane model of a rotating fluid. Using a weakly nonlinear expansion, we find two-dimensional finite-amplitude waves of permanent form; these solutions are similar to those found earlier for a non-rotating mixing layer, but lose their symmetry because of the rotation. These vortices may propagate with constant phase velocity, the propagation speed being chosen to make the expansion as regular as possible. Alternative solutions are produced using a nonlinear critical layer analysis to remedy potential singularities which appear in the weakly nonlinear expansion. These alternative solutions also lose their symmetry because of the rotation and may also propagate with constant phase velocity.
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