Il Nuovo Cimento B (1971-1996)

, Volume 71, Issue 2, pp 282–294 | Cite as

Nonlinear hydrodynamic stability of some simple rotational flows

  • S. Pierini
  • E. Salusti


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.


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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Copyright information

© Società Italiana di Fisica 1982

Authors and Affiliations

  • S. Pierini
    • 1
  • E. Salusti
    • 2
    • 3
  1. 1.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeCambridgeUK
  2. 2.Istituto di Fisica dell’UniversitàRomaItalia
  3. 3.Istituto Nazionale di Fisica NucleareSezione di RomaItalia

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