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Books on the topic 'Water waves Wave-motion'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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1

G, Mazʹi͡a V., and Vaĭnberg B. R, eds. Linear water waves: A mathematical approach. New York: Cambridge University Press, 2002.

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2

S, Johnson R. A modern introduction to the mathematical theory of water waves. Cambridge: Cambridge University Press, 1997.

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3

Diemer, Ferdinand Joseph. A prony algorithm for shallow water waveguide analysis. Woods Hole, Mass: Woods Hole Oceanographic Institution, 1987.

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4

M, Rahman. Water waves: Relating modern theory to advanced engineering applications. Oxford: Clarendon Press, 1995.

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5

Conference on Water Waves: Theory and Experiment (2008 Howard University). Proceedings of the Conference on Water Waves: Theory and Experiment, Howard University, USA, 13-18 May 2008. Edited by Mahmood M. F, Henderson Diane, and Segur Harvey. New Jersey: World Scientific, 2010.

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6

Polukhina, O. E. Dinamika kraevykh voln v okeane. Nizhniĭ Novgorod: Nizhegorodskiĭ gos. tekhnicheskiĭ universitet, 2006.

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7

Polukhina, O. E. Dinamika kraevykh voln v okeane. Nizhniĭ Novgorod: Nizhegorodskiĭ gos. tekhnicheskiĭ universitet, 2006.

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8

Frisk, George V. Report on the Office of Naval Research Shallow Water Acoustics Workshop: April 24-26, 1991. Woods Hole, Mass: Woods Hole Oceanographic Institution, 1992.

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9

Smith, Ernest R. Laboratory study on macro-features of wave breaking over bars and artificial reefs. [Vicksburg, Miss: U.S. Army Engineer Waterways Experiment Station, 1990.

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10

Smith, Ernest R. Laboratory study on macro-features of wave breaking over bars and artificial reefs. [Vicksburg, Miss: U.S. Army Engineer Waterways Experiment Station, 1990.

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11

Kuznetsov, N., V. Maz'ya, and B. Vainberg. Linear Water Waves. Cambridge University Press, 2002.

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12

Bridges, Thomas J., Mark D. Groves, and David P. Nicholls. Lectures on the Theory of Water Waves. Cambridge University Press, 2016.

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13

Oskar, Mahrenholtz, and Markiewicz M, eds. Nonlinear water wave interaction. Southampton: WIT Press, 1999.

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14

(Editor), O. Mahrenholtz, and M. Markiewicz (Editor), eds. Nonlinear Water Wave Interaction (Advances in Fluid Mechanics Volume 24). Computational Mechanics, Inc., 1999.

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15

1962-, Dias F., Ghidaglia J. -M, and Saut J. -C, eds. Mathematical problems in the theory of water waves: A workshop on the problems in the theory of nonlinear hydrodynamic waves, May 15-19, 1995, Luminy, France. Providence, R.I: American Mathematical Society, 1996.

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16

Dally, William R. Wave transformation in the surf zone. 1987.

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17

Zeitlin, Vladimir. Getting Rid of Fast Waves: Slow Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0005.

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After analysis of general properties of horizontal motion in primitive equations and introduction of principal parameters, the key notion of geostrophic equilibrium is introduced. Quasi-geostrophic reductions of one- and two-layer rotating shallow-water models are obtained by a direct filtering of fast inertia–gravity waves through a choice of the time scale of motions of interest, and by asymptotic expansions in Rossby number. Properties of quasi-geostrophic models are established. It is shown that in the beta-plane approximations the models describe Rossby waves. The first idea of the classical baroclinic instability is given, and its relation to Rossby waves is explained. Modifications of quasi-geostrophic dynamics in the presence of coastal, topographic, and equatorial wave-guides are analysed. Emission of mountain Rossby waves by a flow over topography is demonstrated. The phenomena of Kelvin wave breaking, and of soliton formation by long equatorial and topographic Rossby waves due to nonlinear effects are explained.
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18

Zeitlin, Vladimir. Simplifying Primitive Equations: Rotating Shallow-Water Models and their Properties. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0003.

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In this chapter, one- and two-layer versions of the rotating shallow-water model on the tangent plane to the rotating, and on the whole rotating sphere, are derived from primitive equations by vertical averaging and columnar motion (mean-field) hypothesis. Main properties of the models including conservation laws and wave-vortex dichotomy are established. Potential vorticity conservation is derived, and the properties of inertia–gravity waves are exhibited. The model is then reformulated in Lagrangian coordinates, variational principles for its one- and two-layer version are established, and conservation laws are reinterpreted in these terms.
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19

Zeitlin, Vladimir. Rotating Shallow-Water model with Horizontal Density and/or Temperature Gradients. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0014.

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The derivation of rotating shallow-water equations by vertical averaging and columnar motion hypothesis is repeated without supposing horizontal homogeneity of density/potential temperature. The so-called thermal rotating shallow-water model arises as the result. The model turns to be equivalent to gas dynamics with a specific equation of state. It is shown that it possesses Hamiltonian structure and can be derived from a variational principle. Its solution at low Rossby numbers should obey the thermo-geostrophic equilibrium, replacing the standard geostrophic equilibrium. The wave spectrum of the model is analysed, and the appearance of a whole new class of vortex instabilities of convective type, resembling asymmetric centrifugal instability and leading to a strong mixing at nonlinear stage, is demonstrated.
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