Water Waves: The Mathematical Theory with Applications

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Offers an integrated account of the mathematical hypothesis of wave motion in liquids with a free surface, subjected to gravitational and other forces. Uses both potential and linear wave equation theories, together with applications such as the Laplace and Fourier transform methods, conformal mapping and complex variable techniques in general or integral equations, methods employing a Green's function. Coverage includes fundamental hydrodynamics, waves on sloping beaches, problems involving waves in shallow water, the motion of ships and much more.

Author(s): J. J. Stoker
Series: Pure and Applied Mathematics
Publisher: Wiley-Interscience
Year: 1992

Language: English
Pages: 600
Tags: Hydraulics;Mechanical;Engineering;Engineering & Transportation;Applied;Biomathematics;Differential Equations;Game Theory;Graph Theory;Linear Programming;Probability & Statistics;Statistics;Stochastic Modeling;Vector Analysis;Mathematics;Science & Math;Oceanography;Oceans & Seas;Nature & Ecology;Science & Math;Physics;Acoustics & Sound;Applied;Astrophysics;Biophysics;Chaos Theory;Chemical Physics;Cosmology;Dynamics;Electromagnetism;Electron Microscopy;Energy;Engineering;Entropy;Gas Mechanics;Geop