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Nonlinear hydrodynamic stability of some simple rotational flows

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Il Nuovo Cimento B (1971-1996)

Summary

A theorem due to Arnold about the nonlinear stability of steady plane curvilinear flows of an inviscid fluid is applied to a new class of loop and bend flows recently obtained by Shercliff. The stability (in the Lyapunov sense) of some of these flows is thus proved.

Riassunto

Un teorema di Arnold sulla stabilità non lineare di flussi curvilinei piani e stazionari in un fluido non viscoso è applicato ad una nuova classe di flussi descritti recentemente da Shercliff. La stabilità (nel senso di Lyapunov) di alcuni di essi è quindi provata.

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References

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Author notes

  1. S. Pierini

    Present address: Istituto di Fisica «G. Marconi» dell’Università, Roma

Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver St., CB39EW, Cambridge, UK

    S. Pierini

  2. Istituto di Fisica dell’Università, Roma, Italia

    E. Salusti

  3. Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Italia

    E. Salusti

Authors
  1. S. Pierini
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  2. E. Salusti
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Pierini, S., Salusti, E. Nonlinear hydrodynamic stability of some simple rotational flows. Nuov Cim B 71, 282–294 (1982). https://doi.org/10.1007/BF02721179

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  • DOI: https://doi.org/10.1007/BF02721179

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