The superharmonic instability of finite-amplitude interfacial waves
by Takeshi Kataoka  

Vol. 3 No. 1 (2008) P.153~P.166

ABSTRACT

The linear stability of finite-amplitude interfacial waves in a two-layer fluid is investigated for superharmonic disturbances on the basis of the Euler set of equations. In the previous study (J. Fluid Mech. 2006, vol.547, p.175), the author proved analytically for surface waves that the superharmonic instability first occurs when the wave energy density becomes stationary as a function of wave speed for fixed mean surface height. This analysis is here extended to the two-layer-fluid system. It is found that the above law is true of any interfacial waves by replacing the word 'surface' by 'interface'.

KEYWORDS
Interfacial waves, linear stability, two-layer fluid, asymptotic analysis

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 76B55, 74J30, 76E99

MILESTONES

Received: 2007-12-27
Revised :
Accepted:

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