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Focuses on the classical three-dimensional gravity-capillary waterwave problem and the presentation of a subsequent bifurcation theory. Euler equations for oblique water waves; Catalogue of bifurcation scenarios; Normal-form coefficients.

Attempts to find a reduced equation for nonlinear water waves travelling on the free surface of an inviscid fluid layer, under the influence of gravity waves. Background on literature regarding the water-wave problem; Construction of a general reduction method for equations in a cylindrical domain; Condition for maximal regularity for differential equations in Hilbert spaces.