A uniqueness criterion for linear problems of wave-body interaction

Author

Motygin, O.V. ; McIver, P.

Author_Institution

Inst. of Problems in Mech. Eng., St. Petersburg, Russia

fYear

2000

fDate

2000

Firstpage

108

Lastpage

117

Abstract

The question of uniqueness for problems describing the interaction of submerged bodies with an ideal unbound fluid is far from resolution. In the present work a new criterion of uniqueness is suggested based on Green´s integral identity and the maximum principle for elliptic differential equations. The criterion is formulated as an inequality involving integrals of the Green´s function over bodies´ wetted contours, and when being satisfied guarantees uniqueness of the problem. This criterion is quite general and applicable for any number of bodies of arbitrary shape (satisfying the exterior sphere condition) and in any dimension

Keywords

Green´s function methods; differential equations; fluid dynamics; integral equations; maximum principle; waves; Green´s function; Green´s integral identity; elliptic differential equations; exterior sphere condition; ideal unbound fluid; inequality; integrals; linear problems; maximum principle; submerged bodies; uniqueness criterion; wave-body interaction; wetted contours; Acceleration; Differential equations; Diffraction; Frequency; Gravity; H infinity control; Integral equations; Mechanical engineering; Shape; Surface waves;

fLanguage

English

Publisher

ieee

Conference_Titel

Day on Diffraction Millenniuym Workshop, 2000. International Seminar

Conference_Location

St. Petersburg

Print_ISBN

5-7997-0252-4

Type

conf

DOI

10.1109/DD.2000.902363

Filename

902363