Linearised theory for surface and interfacial waves interacting with freely floating bodies in a two-layer fluid

F.S. Cal, G.A.S. Dias, S.A. Nazarov, J.H. Videman

Research output

2 Citations (Scopus)

Abstract

© 2014, Springer Basel.We derive a linear system of equations governing the interaction of water waves with partially or totally submerged freely floating structures in a two-layer fluid. We establish conditions for the stability of equilibrium and, by considering time-harmonic motions, rewrite the problem as a spectral boundary-value problem consisting of a differential equation and an algebraic system, coupled through boundary conditions. We give also a suitable variational formulation for the problem and provide examples of configurations where the problem admits only the trivial solution.
Original languageEnglish
Pages (from-to)417-432
JournalZeitschrift für angewandte Mathematik und Physik
Issue number2
DOIs
Publication statusPublished - 2015

Cite this

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abstract = "{\circledC} 2014, Springer Basel.We derive a linear system of equations governing the interaction of water waves with partially or totally submerged freely floating structures in a two-layer fluid. We establish conditions for the stability of equilibrium and, by considering time-harmonic motions, rewrite the problem as a spectral boundary-value problem consisting of a differential equation and an algebraic system, coupled through boundary conditions. We give also a suitable variational formulation for the problem and provide examples of configurations where the problem admits only the trivial solution.",
author = "F.S. Cal and G.A.S. Dias and S.A. Nazarov and J.H. Videman",
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AU - Cal, F.S.

AU - Dias, G.A.S.

AU - Nazarov, S.A.

AU - Videman, J.H.

PY - 2015

Y1 - 2015

N2 - © 2014, Springer Basel.We derive a linear system of equations governing the interaction of water waves with partially or totally submerged freely floating structures in a two-layer fluid. We establish conditions for the stability of equilibrium and, by considering time-harmonic motions, rewrite the problem as a spectral boundary-value problem consisting of a differential equation and an algebraic system, coupled through boundary conditions. We give also a suitable variational formulation for the problem and provide examples of configurations where the problem admits only the trivial solution.

AB - © 2014, Springer Basel.We derive a linear system of equations governing the interaction of water waves with partially or totally submerged freely floating structures in a two-layer fluid. We establish conditions for the stability of equilibrium and, by considering time-harmonic motions, rewrite the problem as a spectral boundary-value problem consisting of a differential equation and an algebraic system, coupled through boundary conditions. We give also a suitable variational formulation for the problem and provide examples of configurations where the problem admits only the trivial solution.

U2 - 10.1007/s00033-014-0423-8

DO - 10.1007/s00033-014-0423-8

M3 - Article

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EP - 432

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

SN - 0044-2275

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ER -