The trajectories of particles in Stokes waves

• 成果类型: Article
• 署名作者: Constantin, Adrian
• 署名单位: Trinity College Dublin; Lund University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-006-0002-5
• 发表日期: 2006
• 页码: 523-535
• 关键词: periodic water-waves; extreme form; vorticity; symmetry; depth

摘要

Analyzing a free boundary problem for harmonic functions we show that there are no closed particle paths in an irrotational inviscid traveling wave propagating at the surface of water over a flat bed: within a period each particle experiences a backward-forward motion with a slight forward drift.