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Advances in wave interaction and turbulence : proceedings of an ams-ims-siam joint summer research conference on dispersive wave turbulence, mount ... ma, june 11-15, 20 /   Publication : [S.l.] American Mathematical Society 2001 . 116 p. , We often think of our natural environment as being composed of very many interacting particles, undergoing individual chaotic motions, of which only very coarse averages are perceptible at scales natural to us. However, we could as well think of the world as being made out of individual waves. This is so not just because the distinction between waves and particles becomes rather blurred at the atomic level, but also because even phenomena at much larger scales are better described in terms of waves rather than of particles: It is rare in both fluids and solids to observe energy being carried from one region of space to another by a given set of material particles; much more often, this transfer occurs through chains of particles, neither of them moving much, but each communicating with the next, and hence creating these immaterial objects we call waves. Waves occur at many spatial and temporal scales. Many of these waves have small enough amplitude that they can be approximately described by linear theory. However, the joint effect of large sets of waves is governed by nonlinear interactions which are responsible for huge cascades of energy among very disparate scales. Understanding these energy transfers is crucial in order to determine the response of large systems, such as the atmosphere and the ocean, to external forcings and dissipation mechanisms which act on scales decades apart. The field of wave turbulence attempts to understand the average behavior of large ensembles of waves, subjected to forcing and dissipation at opposite ends of their spectrum. It does so by studying individual mechanisms for energy transfer, such as resonant triads and quartets, and attempting to draw from them effects that should not survive averaging. This book presents the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Dispersive Wave Turbulence held at Mt. Holyoke College (MA). It drew together a group of researchers from many corners of the world, in the context of a perceived renaissance of the field, driven by heated debate about the fundamental mechanism of energy transfer among large sets of waves, as well as by novel applications--and old ones revisited--to the understanding of the natural world. These proceedings reflect the spirit that permeated the conference, that of friendly scientific disagreement and genuine wonder at the rich phenomenology of waves. 25 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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An introduction to fronts in random media / par Xin, Jack. Publication : London ; | New York : Springer, 2009 . x, 159 pages : 24 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Wave propagation and time reversal in randomly layered media / par Fouque, Jean-Pierre. Publication : [S.l.] : Springer, 2007 . 612 p. ; , Wave propagation in random media is an interdisciplinary field that has emerged from the need in physics and engineering to model and analyze wave energy transport in complex environments. This book gives a systematic and self-contained presentation of wave propagation in randomly layered media using the asymptotic theory of ordinary differential equations with random coefficients. The first half of the book gives a detailed treatment of wave reflection and transmission in one-dimensional random media, after introducing gradually the tools from partial differential equations and probability theory that are needed for the analysis. The second half of the book presents wave propagation in three-dimensional randomly layered media along with several applications, primarily involving time reversal. Many new results are presented here for the first time. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Waves and compressible flow / par Ockendon,, Hilary. Publication : [S.l.] : Springer, 2004 . 188 p. ; , This books aims to provide students and rsearchers with a basis for understanding the wide range of wave phenomena with which any mathematician may be confronted in applications. Compressible flow is the main focus of the book however the authors show how wave phenomena in electromagentism and solid mechanics can be treated using similar mathematical methods. This book originated from a course at Oxford University and previous book by H Ockendon and R Taylor entitled Inviscid Fluid Flows. This monograph has been retitled and revised throughly to reflect scientific interest. The book has exercises at end of each chapter and should appeal to senior undergraduate and graduate students interested in fluid mechanics. 25 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Godunov-type schemes : an introduction for engineers / par Guinot, Vincent. Publication : . 1 online resource (xxiv, 483 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444511553,

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Unidirectional wave motions / par Levine, Harold, Publication : . 1 online resource (xii, 502 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444850430,

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Asymptotic wave theory / par Roseau, Maurice. Publication : . 1 online resource (x, 349 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780720423709,

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Wave fields in real media : wave propagation in anisotropic, anelastic, and porous media / par Carcione, José M. Publication : . 1 online resource (xxiii, 390 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780080439297,

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Scattering theory / par Lax, Peter D. Publication : . 1 online resource (xii, 309 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780124400511,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=26,

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