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A Note On The Uniqueness Of Small Amplitude Water Waves Travelling In A Region Of Varying Depth
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Book Synopsis A Note on the Uniqueness of Small Amplitude Water Waves Travelling in a Region of Varying Depth by : G. F. Fitz-Gerald
Download or read book A Note on the Uniqueness of Small Amplitude Water Waves Travelling in a Region of Varying Depth written by G. F. Fitz-Gerald and published by . This book was released on 1979 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Note on the Uniquesness of Small Amplitude Water Waves Travelling in a Region of Varying Depth by : G. F. Fitz-Gerald
Download or read book A Note on the Uniquesness of Small Amplitude Water Waves Travelling in a Region of Varying Depth written by G. F. Fitz-Gerald and published by . This book was released on 1979 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Small-amplitude steady water waves with vorticity by : Evgeniy Lokharu
Download or read book Small-amplitude steady water waves with vorticity written by Evgeniy Lokharu and published by Linköping University Electronic Press. This book was released on 2017-01-30 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of describing two-dimensional traveling water waves is considered. The water region is of finite depth and the interface between the region and the air is given by the graph of a function. We assume the flow to be incompressible and neglect the effects of surface tension. However we assume the flow to be rotational so that the vorticity distribution is a given function depending on the values of the stream function of the flow. The presence of vorticity increases the complexity of the problem and also leads to a wider class of solutions. First we study unidirectional waves with vorticity and verify the Benjamin-Lighthill conjecture for flows whose Bernoulli constant is close to the critical one. For this purpose it is shown that every wave, whose slope is bounded by a fixed constant, is either a Stokes or a solitary wave. It is proved that the whole set of these waves is uniquely parametrised (up to translation) by the flow force which varies between its values for the supercritical and subcritical shear flows of constant depth. We also study large-amplitude unidirectional waves for which we prove bounds for the free-surface profile and for Bernoulli’s constant. Second, we consider small-amplitude waves over flows with counter currents. Such flows admit layers, where the fluid flows in different directions. In this case we prove that the initial nonlinear free-boundary problem can be reduced to a finite-dimensional Hamiltonian system with a stable equilibrium point corresponding to a uniform stream. As an application of this result, we prove the existence of non-symmetric wave profiles. Furthermore, using a different method, we prove the existence of periodic waves with an arbitrary number of crests per period.
Author :Nikolaĭ Germanovich Kuznet︠s︡ov Publisher :Cambridge University Press ISBN 13 :9780521808538 Total Pages :528 pages Book Rating :4.8/5 (85 download)
Book Synopsis Linear Water Waves by : Nikolaĭ Germanovich Kuznet︠s︡ov
Download or read book Linear Water Waves written by Nikolaĭ Germanovich Kuznet︠s︡ov and published by Cambridge University Press. This book was released on 2002-07-11 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.'
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis IUTAM Symposium on Computational Methods for Unbounded Domains by : Thomas L. Geers
Download or read book IUTAM Symposium on Computational Methods for Unbounded Domains written by Thomas L. Geers and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the 1997 IUTAM Symposium, where invited researchers in acoustics, aeronautics, elastodynamics, electromagnetics, hydrodynamics, and mathematics discussed non-reflecting computational boundaries. The participants formulated benchmark problems for evaluating computational boundaries, as described in the first article.
Download or read book Proceedings written by and published by . This book was released on 1999 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Briefs written by and published by . This book was released on 1994 with total page 1118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews by :
Download or read book Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews written by and published by . This book was released on 1988 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Application of Boundary Integral Equation Method to Water Wave Problems by : Madjid Tehrani Abbaspour
Download or read book Application of Boundary Integral Equation Method to Water Wave Problems written by Madjid Tehrani Abbaspour and published by . This book was released on 1982 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Forced Small-amplitude Water Waves by : F. Ursell
Download or read book Forced Small-amplitude Water Waves written by F. Ursell and published by . This book was released on 1958 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Waves on Water of Variable Depth by : Australian Academy of Science
Download or read book Waves on Water of Variable Depth written by Australian Academy of Science and published by . This book was released on 1977 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Water Wave Scattering by : Birendra Nath Mandal
Download or read book Water Wave Scattering written by Birendra Nath Mandal and published by CRC Press. This book was released on 2015-05-21 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of water waves is most varied and is a fascinating topic. It includes a wide range of natural phenomena in oceans, rivers, and lakes. It is mostly concerned with elucidation of some general aspects of wave motion including the prediction of behaviour of waves in the presence of obstacles of some special configurations that are of interes
Download or read book Water Waves written by J. J. Stoker and published by John Wiley & Sons. This book was released on 2011-08-15 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis International bibliography of periodical literature covering all fields of knowledge by :
Download or read book International bibliography of periodical literature covering all fields of knowledge written by and published by . This book was released on 1980 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Three-dimensional Waves on Water of Varying Depth by : Joseph Mathew
Download or read book Nonlinear Three-dimensional Waves on Water of Varying Depth written by Joseph Mathew and published by . This book was released on 1990 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
