- 98-440 Panayotis Panayotaros
- Near-monochromatic water waves on the sphere
Jun 12, 98
(auto. generated ps),
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Abstract. We study analytically and numerically
a class of traveling and standing waves in a model of
gravity water waves on the sphere.
These waves are ``near-monochromatic'' in space,
i.e. their amplitude consists of one spherical harmonic
plus small corrections, and we see numerically that they retain
this property for long time.
A main feature of the model we consider is that it possesses a
Hamiltonian structure. This structure is preserved by
our numerical implementation, and we use formal and rigorous
arguments from classical perturbation theory to
understand the numerical observations.