Capillary-Gravity Water Waves: Modified Flow Force Formulation

Abstract

The classical irrotational capillary-gravity water wave problem described by the Euler equations with a nonlinear free surface boundary condition over a flat bed is considered. A modified flow force has been defined and a new formulation of capillary-gravity waves in the framework of the modified flow force function has been developed. Using bifurcation theory, the local existence of waves of small amplitude is proved.

References in corpus (2)

• Steady periodic water waves with constant vorticity: regularity and local bifurcation
• Capillary-gravity water waves with discontinuous vorticity: existence and regularity results