ON THE SOLVABILITY OF A TWO-DIMENSIONAL WATER-WAVE RADIATION PROBLEM.

Athanassoulis, GA

dc.contributor.author	Athanassoulis, GA	en
dc.date.accessioned	2014-03-01T01:06:56Z
dc.date.available	2014-03-01T01:06:56Z
dc.date.issued	1987	en
dc.identifier.issn	0033-569X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9692
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0023138990&partnerID=40&md5=3d49d74b22228cf8374d258b3a1c36af	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Boundary Value Problems	en
dc.subject.other	BODY BOUNDARY CONDITION	en
dc.subject.other	EXPANSION THEORY	en
dc.subject.other	TWO-DIMENSIONAL WATER-WAVE RADIATION	en
dc.subject.other	WATER WAVES	en
dc.title	ON THE SOLVABILITY OF A TWO-DIMENSIONAL WATER-WAVE RADIATION PROBLEM.	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	The existence of a unique weak solution for the two-dimensional water-wave radiation problem arising when a floating rigid body oscillates on the free surface is established for all but a discrete set of oscillation frequencies. The body boundary condition is satisfied in the L2-sense. The proof relies on an expansion theorem and on the property of the associated water-wave multipoles being a Riesz basis of L2( minus pi , 0), a fact which is established in the present paper. Under stronger geometrical restrictions on the body boundary it is proved that the weak solution is actually a classical one; that is, the velocity field is continuous up to and including the body boundary.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	Quarterly of Applied Mathematics	en
dc.identifier.isi	ISI:A1987F864300001	en
dc.identifier.volume	44	en
dc.identifier.issue	4	en
dc.identifier.spage	601	en
dc.identifier.epage	620	en