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##

Linear stability theory

When
become greater than ,
we can observe a modification of the behaviour of the KSE. As the theoretical
study had predicted it, the first mode is becomed unstable. The initialisation
is this example is a sine, but however the initialisation is, the behaviour
is the same. It's to say that all the mode except the the first one are
attenuated.
The following animation shows the amplification of the first mode ().

*Julien Delbove*

*2000-11-23*