Stoker J.J. Water Waves: The Mathematical Theory with Applications

Dover Publications, Inc., 2019. — 592 p. — ISBN: 0486832996.First published in 1957, this is a classic monograph in the area of applied mathematics. It offers a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physical problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers concerned with problems in fluid mechanics.
The four-part treatment begins with a presentation of the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids and a description of the two principal approximate theories that form the basis for the rest of the book. The second section centers on the approximate theory that results from small-amplitude wave motions. A consideration of problems involving waves in shallow water follows, and the text concludes with a selection of problems solved in terms of the exact theory. Despite the diversity of its topics, this text offers a unified, readable, and largely self-contained treatment.Basic Hydrodynamics
The Two Basic Approximate Theories
Simple Harmonic Oscillations in Water of Constant Depth
Waves Maintained by Simple Harmonic Surface Pressure in Water of Uniform Depth.
Waves on Sloping Beaches and Past Obstacles
Unsteady Motions
Two-dimensional Waves on a Running Stream in Water of Uniform Depth
Waves Caused by a Moving Pressure Point. KelvinвЂs Theory of the Wave Pattern
The Motion of a Ship, as a Floating Rigid Body, in a Seaway
Long Waves in Shallow Water
Mathematical Hydraulics
Problems in which Free Surface Conditions are Satisfied Exactly. The Breaking of a Dam. Levi-Civitaв Theory