Journal ArticleDOI
The initial value problem for transient water waves
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This article is published in Communications on Pure and Applied Mathematics.The article was published on 1957-01-01. It has received 79 citations till now. The article focuses on the topics: Initial value problem & Transient (oscillation).read more
Citations
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Surface Waves
TL;DR: In this paper, the evanescent field structure over the wave front, as represented by equiphase planes, is identified as one of the most important and easily recognizable forms of surface wave.
Book
Water Waves: The Mathematical Theory with Applications
TL;DR: In this article, two-dimensional waves on a running stream in water of uniform depth were modeled as a moving pressure point, and the theory of the wave pattern created by a moving ship was proposed.
Journal ArticleDOI
The complete second-order diffraction solution for an axisymmetric body Part 1. Monochromatic incident waves
Moo-Hyun Kim,Dick K. P. Yue +1 more
TL;DR: In this article, the second-order double-frequency diffraction potential of a vertically axisymmetric body is obtained explicitly by a sequence of one-dimensional integral equations along the generator of the body involving free-surface ring sources of general order.
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Time-domain computations for floating bodies
TL;DR: A review of the research carried out at the University of Michigan and elsewhere on the use of time-domain panel methods to compute the hydrodynamic forces acting on floating bodies and fully nonlinear computational techniques are presented.
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Time domain prediction of power absorption from ocean waves with latching control
TL;DR: In this article, a three-dimensional panel method using Neumann-Kelvin method is presented for the transient wave-body interaction problems in order to absorb maximum power from the sea.
References
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Book
A treatise on the theory of Bessel functions
TL;DR: The tabulation of Bessel functions can be found in this paper, where the authors present a comprehensive survey of the Bessel coefficients before and after 1826, as well as their extensions.
Book
Methoden der mathematischen Physik
Richard Courant,David Hilbert +1 more
TL;DR: In this paper, Courant et al. describe an approach for the klassical Ideal einer gewermassen atomistischen Auffassung der Mathematik verlangt, den Stoff in Form of Voraussetzungen, Satzen and Beweisen zu kondensieren.
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On the motion of floating bodies. I
TL;DR: In this article, the authors consider the case of a ship lying dead in the water and assume that the body does not disturb the water much during its forward motion, for example, slenderness or thinness.