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quasigeostrophic dynamics, Gill (1974) studied the instability of barotropic Rossby waves on a beta plane, focusing on two particular asymptotic cases: the case of very weak nonlinearities (corresponding to resonant triad interactions) and the case of very strong nonlinearities. He showed that, in the limit of strong nonlinearities, Rossby waves can transfer their energy toward a zero zonal wavenumber, a nonzero meridional wavenumber, and zero frequency mode, the so-called zonal jet-like structures. Hua et
quasigeostrophic dynamics, Gill (1974) studied the instability of barotropic Rossby waves on a beta plane, focusing on two particular asymptotic cases: the case of very weak nonlinearities (corresponding to resonant triad interactions) and the case of very strong nonlinearities. He showed that, in the limit of strong nonlinearities, Rossby waves can transfer their energy toward a zero zonal wavenumber, a nonzero meridional wavenumber, and zero frequency mode, the so-called zonal jet-like structures. Hua et
