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Nonlinear stability for stationary helical vortices

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Abstract

We present a stability result for stationary smooth helical ideal fluid flows by using the direct method of Liapunov. It is enunciated in terms of the norm \(L^{2}\) of the velocity and vorticity. A stability for monotonic helical vortices in the norm \(L^{1}\) is also obtained.

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  1. Departamento de Matemática, Universidade Federal de Santa Catarina, Blumenau, Brazil

    Maicon J. Benvenutti

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  1. Maicon J. Benvenutti
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Correspondence to Maicon J. Benvenutti.

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Benvenutti, M.J. Nonlinear stability for stationary helical vortices. Nonlinear Differ. Equ. Appl. 27, 15 (2020). https://doi.org/10.1007/s00030-020-0620-4

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