Exact periodic traveling water waves with vorticity

✍ Scribed by Adrian Constantin; Walter Strauss

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 58 KB
• Volume: 335
• Category: Article
• ISSN: 1631-073X
• DOI: 10.1016/s1631-073x(02)02565-7

✦ Synopsis

For the classical inviscid water wave problem under the influence of gravity, described by the Euler equation with a free surface over a flat bottom, we construct periodic traveling waves with vorticity. They are symmetric waves whose profiles are monotone between each crest and trough. We use global bifurcation theory to construct a connected set of such solutions. This set contains flat waves as well as waves that approach flows with stagnation points.