Water Waves The Mathematical Theory With Applications
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Author | : James Johnston Stoker |
Publisher | : Courier Dover Publications |
Total Pages | : 593 |
Release | : 2019-04-17 |
Genre | : Science |
ISBN | : 0486839923 |
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.
Author | : James Johnston Stoker |
Publisher | : Courier Dover Publications |
Total Pages | : 593 |
Release | : 2019-04-17 |
Genre | : Science |
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.
Author | : J. J. Stoker |
Publisher | : John Wiley & Sons |
Total Pages | : 614 |
Release | : 1992-04-16 |
Genre | : Mathematics |
ISBN | : 0471570346 |
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 | : Robin Stanley Johnson |
Publisher | : Cambridge University Press |
Total Pages | : 468 |
Release | : 1997-10-28 |
Genre | : Mathematics |
ISBN | : 9780521598323 |
This text considers classical and modern problems in linear and non-linear water-wave theory.
Author | : David Lannes |
Publisher | : American Mathematical Soc. |
Total Pages | : 347 |
Release | : 2013-05-08 |
Genre | : Mathematics |
ISBN | : 0821894706 |
This monograph provides a comprehensive and self-contained study on the theory of water waves equations, a research area that has been very active in recent years. The vast literature devoted to the study of water waves offers numerous asymptotic models.
Author | : Nikolaĭ Germanovich Kuznet︠s︡ov |
Publisher | : Cambridge University Press |
Total Pages | : 528 |
Release | : 2002-07-11 |
Genre | : Mathematics |
ISBN | : 9780521808538 |
This book gives a self-contained and up-to-date account of mathematical results in the linear theory of water waves. The study of waves has many applications, including the prediction of behavior of floating bodies (ships, submarines, tension-leg platforms etc.), the calculation of wave-making resistance in naval architecture, and the description of wave patterns over bottom topography in geophysical hydrodynamics. The first section deals with time-harmonic waves. Three linear boundary value problems serve as the approximate mathematical models for these types of water waves. The next section uses a plethora of mathematical techniques in the investigation of these three problems. The techniques used in the book include integral equations based on Green's functions, various inequalities between the kinetic and potential energy and integral identities which are indispensable for proving the uniqueness theorems. The so-called inverse procedure is applied to constructing examples of non-uniqueness, usually referred to as 'trapped nodes.'
Author | : J. J. STOKER |
Publisher | : |
Total Pages | : 0 |
Release | : 2018 |
Genre | : |
ISBN | : 9781033029169 |
Author | : Adrian Constantin |
Publisher | : SIAM |
Total Pages | : 333 |
Release | : 2011-01-01 |
Genre | : Mathematics |
ISBN | : 9781611971873 |
This overview of some of the main results and recent developments in nonlinear water waves presents fundamental aspects of the field and discusses several important topics of current research interest. It contains selected information about water-wave motion for which advanced mathematical study can be pursued, enabling readers to derive conclusions that explain observed phenomena to the greatest extent possible. The author discusses the underlying physical factors of such waves and explores the physical relevance of the mathematical results that are presented. The material is an expanded version of the author's lectures delivered at the NSF-CBMS Regional Research Conference in the Mathematical Sciences organized by the Mathematics Department of the University of Texas-Pan American in 2010.
Author | : James J. Stoker |
Publisher | : Wiley-Interscience |
Total Pages | : |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : 9780470828632 |
Author | : David Russell Bland |
Publisher | : Oxford University Press, USA |
Total Pages | : 336 |
Release | : 1988 |
Genre | : Education |
ISBN | : |
This textbook provides a modern introduction to wave theory and its applications to physical phenomena such as deep water waves, transmission lines, elasticity, and traffic flow. The author presents a broad coverage of the subject, including numerous exercises. Each of the main topics is described in detail with examples of their applications. These topics include the classical wave equation, dispersion, dissipation, interconnected waves, diffusive waves, and first and second order non-linear waves. The special attention paid to non-linear and elastic waves represents a major strength of the text, along with its inclusion of an entire chapter devoted to the use of characteristics and asymptotic expansions. Intended for advanced undergraduates, the book will also be of interest to instructors in mathematics, physics and engineering courses.