lectures on the theory of water waves

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Lectures On The Theory Of Water Waves

Author : Thomas J. Bridges
ISBN : 9781107565562
Genre : Mathematics
File Size : 89. 77 MB
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A range of experts contribute introductory-level lectures on active topics in the theory of water waves.

Proceedings Of The Conference On Water Waves Theory And Experiment Howard University Usa 13 18 May 2008

Author : M. F. Mahmood
ISBN : 9789814304238
Genre : Science
File Size : 41. 16 MB
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The objective of this book is to introduce new researchers to the rich dynamical system of water waves, and to show how (some) abstract mathematical concepts can be applied fruitfully in a practical physical problem and to make the connection between theory and experiment. It provides a coherent set of lectures on the current status of water wave theory, including identification of some open problems.

Nonlinear Water Waves

Author : Joachim Escher
ISBN : 9783319314624
Genre : Mathematics
File Size : 46. 33 MB
Format : PDF
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This volume brings together four lecture courses on modern aspects of water waves. The intention, through the lectures, is to present quite a range of mathematical ideas, primarily to show what is possible and what, currently, is of particular interest. Water waves of large amplitude can only be fully understood in terms of nonlinear effects, linear theory being not adequate for their description. Taking advantage of insights from physical observation, experimental evidence and numerical simulations, classical and modern mathematical approaches can be used to gain insight into their dynamics. The book presents several avenues and offers a wide range of material of current interest. The lectures provide a useful source for those who want to begin to investigate how mathematics can be used to improve our understanding of water wave phenomena. In addition, some of the material can be used by those who are already familiar with one branch of the study of water waves, to learn more about other areas.

Nonlinear Water Waves With Applications To Wave Current Interactions And Tsunamis

Author : Adrian Constantin
ISBN : 9781611971866
Genre : Mathematics
File Size : 41. 84 MB
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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 book is intended for mathematicians, physicists and engineers interested in the interplay between physical concepts and insights and the mathematical ideas and methods that are relevant to specific water-wave phenomena. 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.

Nonlinear Water Waves

Author : Lokenath Debnath
ISBN : UCSD:31822016460404
Genre : Mathematics
File Size : 22. 65 MB
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Wave motion in water is one of the most striking observable phenomena in nature. Throughout the twentieth century, development of the linearized theory of wave motion in fluids and hydrodynamic stability has been steady and significant. In the last three decades there have been remarkable developments in nonlinear dispersive waves in general, nonlinear water waves in particular, and nonlinear instability phenomena. New solutions are now available for waves modulatedin both space and time, which exhibit new phenomena as diverse as solitons, resonant interactions, side-band instability, and wave-breaking. Other achievements include the discovery of soliton interactions, and the Inverse Scattering Transform method forfinding the explicit exact solution for several canonical nonlinear partial differential equations. This monograph is the first to summarize the research on nonlinear wave phenomena over the past three decades, and it also presents numerous applications in physics, geophysics, and engineering.

Baltimore Lectures On Molecular Dynamics And The Wave Theory Of Light

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ISBN :
Genre :
File Size : 56. 83 MB
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Baltimore Lectures On Molecular Dynamics And The Wave Theory Of Light

Author : William Thomson, Baron Kelvin
ISBN : 9781108007672
Genre : Religion
File Size : 58. 90 MB
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Lectures describing the problems in explaining light propagation which inspired Einstein's theory of special relativity.

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