A Modern Introduction to the Mathematical Theory of Water Waves PDF Download

Author: Robin Stanley Johnson
Publisher: Cambridge University Press
ISBN: 9780521598323
Category : Mathematics
Languages : en
Pages : 468

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Book Description
This text considers classical and modern problems in linear and non-linear water-wave theory.

Author: Bernard LeMéhauté
Publisher:
ISBN:
Category : Hydrodynamics
Languages : en
Pages : 246

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Book Description

Author: Gordon David Crapper
Publisher:
ISBN:
Category : Water waves
Languages : en
Pages : 232

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Book Description

Author: R. Timman
Publisher: Springer Science & Business Media
ISBN: 940173657X
Category : Science
Languages : en
Pages : 151

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Book Description
In the spring of 1971, Reinier Tirnrnan visited the University of Delaware during which time he gave a series of lectures on water waves from which these notes grew. Those of us privi leged to be present during that time will never forget the experience. Rein Tirnrnan is not easily forgotten. His seemingly inexhaustible energy completely overwhelmed us. Who could forget the numbing effect of a succession of long wine filled evenings of lively conversation on literature, politics, education, you name it, followed early the next day by the appearance of the apparently totally refreshed red haired giant eager to discuss our mathematical problems with keen insight en remarkable understanding, ready to lecture on fluid mechanics or optimal control theory or a host of other subjects and ready to work into the evening until the cycle repeated. He thought faster, he knew more, he drank more and he slept less than any of us mortals and he literally wore us out. What a rare privilege indeed to have participated in this intellectual orgy. Tirnrnan's lively interest in almost every thing coupled with his buoyant enthusiasm and infectious op timism epitomized his approach to life. No delicate nibbling at the fringes, he wanted every morsel of every course. In these times of narrow specialization truly renaissance figures are, if not extinct, at least a highly endangered species. But Tirnrnan was one of that rare breed.

Author: A.J. Hermans
Publisher: Springer Science & Business Media
ISBN: 9400700962
Category : Technology & Engineering
Languages : en
Pages : 169

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Book Description
In this book an introduction is given to aspects of water waves that play a role in ship hydrodynamics and offshore engineering. At first the equations and linearized boundary conditions are derived describing the non-viscous free surface water waves, with special attention to the combination of steady and non-steady flow fields. Then some simple kinds of free wave solutions are derived, such as plane waves and cylindrical waves. For several situations, steady and unsteady, the source singularity function is derived. These functions play a role in numerical codes used to describe the motion of ships and offshore structures. These codes are mostly based on a boundary integral formulation; therefore we give an introduction to these methods. It is shown how first order ship motions can be determined. In offshore engineering the second order wave drift motions play an important role. An introduction to this phenomenon is given and the effects which have to be taken into account are explained by means of a simple example where we can determine nearly all the aspects analytically. An interesting example that is worked out is the motion of very large floating flexible platforms with finite draft. Finally an introduction to the theory of shallow water non-linear dispersive waves is presented, and shallow water ship hydrodynamics, that plays a role in coastal areas and channels is treated. Here attention is paid to the interaction between passing ships in restricted water. In the appendix a short introduction to some of the mathematical tools is given.

Author: David Lannes
Publisher: American Mathematical Soc.
ISBN: 0821894706
Category : Mathematics
Languages : en
Pages : 347

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Book Description
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: Robert George Dean
Publisher: Springer Science & Business
ISBN: 9789810204211
Category : Science
Languages : en
Pages : 376

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Book Description
An introduction to classical water wave theory for college seniors or first-year graduate students. Almost all the necessary mathematical and engineering concepts are either presented or derived in the text, making it also useful as a reference for practicing engineers. Paper edition (0421-3), $28. Acidic paper. Annotation copyrighted by Book News, Inc., Portland, OR

Author: Benjamin de Mayo
Publisher: Morgan & Claypool Publishers
ISBN: 1627056769
Category : Science
Languages : en
Pages : 178

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Book Description
Humans receive the vast majority of sensory perception through the eyes and ears. This non-technical book examines the everyday physics behind hearing and vision to help readers understand more about themselves and their physical environment. It begins wit

Author: James Johnston Stoker
Publisher: Courier Dover Publications
ISBN: 0486839923
Category : Science
Languages : en
Pages : 593

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Book Description
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: Joseph Pedlosky
Publisher: Springer Science & Business Media
ISBN: 3662051311
Category : Science
Languages : en
Pages : 259

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Book Description
A study of the fundamental theory of waves appropriate for first year graduate students in oceanography, meteorology and associated sciences. Starting with an elementary overview of the basic wave concept, specific wave phenomena are then examined, including: surface gravity waves, internal gravity waves, lee waves, waves in the presence of rotation, and geostrophic adjustment. Each wave topic is used to introduce either a new technique or concept in general wave theory. Emphasis is placed on connectivity between the various subjects and on the physical interpretation of the mathematical results. The book contains numerous exercises at the end of the respective chapters.