Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-07T11:42:02.288Z Has data issue: false hasContentIssue false

Uniqueness and solvability in the linearized two-dimensional problem of a body in a finite depth subcritical stream

Published online by Cambridge University Press:  01 April 1999

O. MOTYGIN
Affiliation:
Laboratory for Mathematical Modelling of Wave Phenomena, Institute of Mechanical Engineering Problems, Russian Academy of Sciences, V.O., Bol'shoy pr., 61, St. Petersburg, 199178, Russia

Abstract

Uniqueness and solvability theorems are proved for the two-dimensional Neumann–Kelvin problem in the case when a body is totally submerged in a subcritical stream of finite depth fluid. A version of source method is developed to find a solution. The Green's identity coupling the solution with a solution of the problem with opposite stream direction is used to prove that the solution is unique.

Type
Research Article
Copyright
1999 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)