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For the most general case, it's to say with surface tension and gravity, the
equations become :
The determinant give the compatibility equation. Finaly we have :
So if the condition of instability is verified, the real part of is positive.
Without surface tension we have a curve of the amplification coefficient which
depends on the wave number on figure 4.6
Figure 4.6:
Amplification coefficient for , with surface tension and without

Stephanie Terrade
Julien Delbove
20001106