The Neumann–Kelvin problem revisited

Abstract

The plane Neumann–Kelvin problem for a semisubmerged body in a fluid of finite depth is considered in the subcritical regime. We prove the existence of a unique solution for any subcritical velocity under the assumption that the body is symmetric about its midsection and is confined within a vertical strip bounded by straight lines going through the end-points of the body's contour.

Keywords:

• Linear water waves
• Neumann–Kelvin condition

Keywords:

• AMS Subject Classifications: 35J20
• 35J25
• 76B20