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A variational formulation of three-dimensional steady water waves.

作者信息

Buffoni B

机构信息

Department of Mathematics, Swiss Federal Institute of Technology-Lausanne, 1015 Lausanne, Switzerland.

出版信息

Philos Trans A Math Phys Eng Sci. 2002 Oct 15;360(1799):2111-26. doi: 10.1098/rsta.2002.1064.

DOI:10.1098/rsta.2002.1064
PMID:12804229
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.

摘要

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