Title :
On uniqueness in the two-and three-dimensional Neumann-Kelvin problem
Author_Institution :
Inst. of Problems in Mech. Eng., St. Petersburg
Abstract :
The uniqueness question for the classical Neumann-Kelvin problem of the linear theory of ship waves is considered. Both two- and three-dimensional problems are studied in the case when contours of ships are totally submerged. A new uniqueness theorem, valid for bodies of arbitrary shape and without assumptions on finiteness of energy, is proved. Simple bounds for the set of parameters, for which non- uniqueness can occur, are found.
Keywords :
waves; arbitrary shape; ship waves linear theory; three-dimensional Neumann-Kelvin problem; Acceleration; Boundary conditions; Diffraction; Equations; Gravity; H infinity control; Marine vehicles; Mechanical engineering; Shape; Surface waves;
Conference_Titel :
Days on Diffraction, 2007 International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
5-9651-0118-X
DOI :
10.1109/DD.2007.4532000
