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- W1539285093 abstract "Abstract Nonlinear α2Ω-dynamo waves are considered in a thin turbulent, differentially rotating convective stellar shell. Nonlinearity arises from α-quenching, while an asymptotic solution is based on the small aspect ratio of the shell. Wave modulation is linked to a latitudinal-dependent local α-effect and zonal shear flow magnetic Reynolds numbers Rαf(θ) and R Ω g(θ) respectively; here θ is the latitude. The study is a direct extension of that of Meunier et al. (1997) for αΩ-dynamo waves which corresponds to finite dynamo number R α R Ω in the limit R α → 0. The essential picture developed is that of a modulated dynamo wave whose amplitude varies spatially with θ. The linear solution is controlled by the properties of the double turning point θc of the ordinary differential equation for the mode amplitude. Significantly, though θc is real and is located at the local dynamo number maximum in the αΩ-dynamo limit R α → 0, it migrates into the complex θ-plane once R α ≠ 0. Linear and weakly nonlinear solut..." @default.
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- W1539285093 date "2001-03-01" @default.
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- W1539285093 title "Nonlinear α2Ω-dynamo waves in stellar shells" @default.
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- W1539285093 doi "https://doi.org/10.1080/03091920108204132" @default.
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