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# A spatial dynamics approach to three-dimensional gravity-capillary steady water waves

@inproceedings{Groves1999ASD, title={A spatial dynamics approach to three-dimensional gravity-capillary steady water waves}, author={Mark D. Groves}, year={1999} }

- Published 1999

A new approach to the question of the existence of small-amplitude, uniformly translating, two-dimensional capillary-gravity water waves was proposed by Kirchgässner (1988), who suggested writing the governing equations as an infinite-dimensional, quasilinear dynamical system in which the horizontal coordinate is the time-like variable. The centre-manifold reduction theorem of Mielke (1988) may then be used to show that this dynamical system is locally equivalent to a system of ordinary… CONTINUE READING

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