High- and low-frequency asymptotic consequences of the Kramers-Kronig relations

DOI10.1007/BF00044607zbMath0608.76016MaRDI QIDQ1086063

Martin Greenhow

Publication date: 1986

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier transformasymptotic expansionintegral relationsresponsefloating-body hydrodynamicsKramer-Kronig relationslinear causal systemlow-frequency asymptotic

Mathematics Subject Classification ID

Ship waves (76B20) Incompressible inviscid fluids (76B99)

Related Items (3)

The motion of a freely floating cylinder in the presence of a wall and the approximation of resonances ⋮ Water-wave trapping by floating circular cylinders ⋮ Far-field representation for the vertical force on a floating structure

Cites Work

• Unnamed Item
• The high-frequency radiation of water waves by oscillating bodies
• Asymptotic Expansion of the Hilbert Transform
• The wave forces acting on a floating hemisphere undergoing forced periodic oscillations
• Integrals with a large parameter: Hilbert transforms
• Comparison of Two Approximate Dipole Distributions for a Lenticular Cylinder in a Semi‐Infinite Fluid

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