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On a boundary value problem in the theory of linear water waves

โœ Scribed by N. Weck

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
338 KB
Volume
12
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

Abstract

A body ฮฉ floating in a fluid is subjected to small periodic displacement. Under idealized conditions the resulting wave pattern can be described by a linear boundary value problem for the Laplacian in an unbounded domain with a nonโ€coercive boundary condition on part of the boundary. Nevertheless uniqueness can be shown if ฮฉ is confined to certain subsets of the fluid which can be described explicitly. This extends a result of V. G. Maz'ja saying that uniqueness holds provided that the exterior normal for โˆ‚ฮฉ avoids certain directions.

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