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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
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
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Abstract

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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
Information
European Journal of Applied Mathematics , Volume 10 , Issue 2 , April 1999 , pp. 141 - 155
Copyright
1999 Cambridge University Press