Hydrodynamic stability

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Kelvin–Helmholtz instability on Saturn, caused by the interaction between two bands of the planet's atmosphere.

In fluid dynamics, hydrodynamic stability is the field which analyses the stability and the onset of instability of fluid flows. Instabilities may develop further into turbulence.[1] The foundations of hydrodynamic stability, both theoretical and experimental, were laid by most notably by Helmholtz, Kelvin, Rayleigh and Reynolds during the nineteenth century.[1]

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  1. ^ a b See Drazin (2002), Introduction to hydrodynamic stability, p. 1.


  • Chandrasekhar, S. (1981), Hydrodynamic and hydromagnetic stability, Dover, ISBN 0-486-64071-X 
  • Charru, F. (2011), Hydrodynamic instabilities, Cambridge University Press, ISBN 1139500546 
  • Drazin, P.G. (2002), Introduction to hydrodynamic stability, Cambridge University Press, ISBN 0-521-00965-0 
  • Drazin, P.G.; Reid, W.H. (1981), Hydrodynamic stability, Cambridge University Press, ISBN 0-521-28980-7 
  • Godreche, C.; Manneville, P., eds. (1998), Hydrodynamics and nonlinear instabilities, Cambridge University Press, ISBN 0521455030 
  • Lin, C.C. (1966), The theory of hydrodynamic stability (corrected ed.), Cambridge University Press, OCLC 952854 
  • Joseph, D.D. (1976), Stability of fluid motions I, Tracts in Natural Philosophy 27, Springer-Verlag, ISBN 3-540-07514-3 
    Joseph, D.D. (1976), Stability of fluid motions II, Tracts in Natural Philosophy 28, Springer-Verlag, ISBN 3-540-07516-X 
  • Sritharan, S.S. (1990), Invariant manifold theory for hydrodynamic transition, Pitman research notes in mathematics series 241, Wiley, ISBN 0-582-06781-2 [1]
  • Swinney, H.L.; Gollub, J.P., eds. (1985), Hydrodynamic instabilities and the transition to turbulence (2d ed.), Springer, ISBN 978-3-540-13319-3 

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