2008 / March Volume 3 No.1
The superharmonic instability of finite-amplitude interfacial waves
Published Date |
2008 / March
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Title | The superharmonic instability of finite-amplitude interfacial waves |
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Pagination | 153-166 |
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'.
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AMS Subject Classification |
76B55, 74J30, 76E99
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Received |
2007-12-27
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