title: A variational formulation of three-dimensional steady water waves.
abstract: We are concerned with a three-dimensional layer of a perfect and irrotational liquid of density one (e.g. water) in a gravity field pointing vertically downwards. The layer is of infinite depth and bounded above by a free surface. Babenko developed a variational theory of steady periodic two-dimensional water waves without surface tension, and the aim of this paper is to extend Babenko's formulation to three-dimensional steady periodic waves.
authors.affiliation: Department of Mathematics, Swiss Federal Institute of Technology-Lausanne, 1015 Lausanne, Switzerland. boris.buffoni@epfl.ch
authors.forename: B
authors.initials: B
authors.lastname: Buffoni
mesh_terms: D006112:Gravitation; D008962:Models, Theoretical; D009038:Motion; D012212:Rheology / Q000379:methods*; D013499:Surface Properties; D014867:Water; D014872:Water Movements
chemical_list: D014867:Water