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Stability criteria for nonlinear waves in Hamiltonian and reversible systems

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SIPW02 - Ice-fluid interaction

We present two general stability/instability criteria for nonlinear waves in Hamiltonian or reversible systems. Both criteria rely upon spectral properties of the linear operators found by linearizing the system at a given wave. We apply these results to some model equations arising in water-wave problems. The focus is on the question of transverse  stability/instability of periodic traveling waves.


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