On the solvability of a two-dimensional wave-body interaction problem

Athanassoulis, GA; Politis, CG

dc.contributor.author	Athanassoulis, GA	en
dc.contributor.author	Politis, CG	en
dc.date.accessioned	2014-03-01T01:08:05Z
dc.date.available	2014-03-01T01:08:05Z
dc.date.issued	1990	en
dc.identifier.issn	0033-569X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10269
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0025399714&partnerID=40&md5=9e032112a1799ca2c8b33215d9ac8e57	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Hydrodynamics	en
dc.subject.other	Mathematical Techniques--Conformal Mapping	en
dc.subject.other	Wave-Body Interaction Problem	en
dc.subject.other	Water Waves	en
dc.title	On the solvability of a two-dimensional wave-body interaction problem	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1990	en
heal.abstract	The two-dimensional, deep-water, wave-body interaction problem for a single-hulled body, floating on the free surface of an ideal liquid, is considered. The body boundary may be nonsmooth and may intersect the free surface at arbitrary angles. The existence of a unique solution representable by a multipole-series expansion is proved for all but a discrete set of oscillation frequencies. The proof is based on the property of the associated multipoles to be a basis of the space LP(-π, 0), 1 < p ≤ 2. Strict estimates of the form Dn = O(n-α) are also obtained for the coefficients of the multipole-series expansion for piecewise smooth (0 < α < 2) and smooth (α = 2) body boundaries.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	Quarterly of Applied Mathematics	en
dc.identifier.isi	ISI:A1990CT50700001	en
dc.identifier.volume	48	en
dc.identifier.issue	1	en
dc.identifier.spage	1	en
dc.identifier.epage	30	en