Title :
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
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;
Conference_Titel :
Day on Diffraction Millenniuym Workshop, 2000. International Seminar
Conference_Location :
St. Petersburg
Print_ISBN :
5-7997-0252-4
DOI :
10.1109/DD.2000.902363
