03827nam a22005895i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003100137041000800168050001400176072001700190072001800207072002300225072002300248082001700271100003000288245012300318260003800441264003800479300004300517336002600560337002600586338003600612347002400648490008300672505031500755520157801070650001702648650001702665650002602682650001202708650001502720650002702735650001702762650003202779650003902811650003302850650003702883650001202920650005202932710003402984773002003018776003603038830008303074856004403157912001403201942000703215999001503222978-3-211-38025-3DE-He21320141014113504.0cr nn 008mamaa100715s2005 au | s |||| 0|eng d a97832113802539978-3-211-38025-37 a10.1007/3-211-38025-62doi aeng 4aTA357-359 7aTGMF2bicssc 7aTGMF12bicssc 7aTEC0090702bisacsh 7aSCI0850002bisacsh04a620.10642231 aGrimshaw, Roger.eeditor.10aNonlinear Waves in Fluids: Recent Advances and Modern Applicationsh[electronic resource] /cedited by Roger Grimshaw. 1aVienna :bSpringer Vienna,c2005. 1aVienna :bSpringer Vienna,c2005. aVII, 196p. 31 illus.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aCISM International Centre for Mechanical Sciences, Courses and Lectures ;v4830 aKorteweg de-Vries Equation -- Weakly Nonlinear Wave Packets and the Nonlinear Schrödinger Equation -- Wave Interactions -- Wave-mean interaction theory -- Wave Turbulence with Applications to Atmospheric and Oceanic Waves -- Nonlinear Amplitude Equations and Soliton Excitations in Bose-Einstein Condensates. aAlthough nonlinear waves occur in nearly all branches of physics and engi neering, there is an amazing degree of agreement about the fundamental con cepts and the basic paradigms. The underlying unity of the theory for linearized waves is already well-established, with the importance of such universal concepts as group velocity and wave superposition. For nonlinear waves the last few decades have seen the emergence of analogous unifying comcepts. The pervasiveness of the soliton concept is amply demonstrated by the ubiquity of such models as the Korteweg-de Vries equation and the nonlinear Schrodinger equation. Similarly, there is a universality in the study of wave-wave interactions, whether determin istic or statistical, and in the recent developments in the theory of wave-mean flow interactions. The aim of this text is to present the basic paradigms of weakly nonlinear waves in fluids. This book is the outcome of a CISM Summer School held at Udine from September 20-24, 2004. . Like the lectures given there the text covers asymptotic methods for the derivation of canonical evolution equations, such as the Kortew- de Vries and nonlinear Schrodinger equations, descriptions of the basic solution sets of these evolution equations, and the most relevant and compelling applica tions. These themes are interlocked, and this will be demonstrated throughout the text . The topics address any fluid flow application, but there is a bias towards geophysical fluid dynamics, reflecting for the most part the areas where many applications have been found. 0aEngineering. 0aMathematics. 0aMathematical physics. 0aFluids. 0aMaterials. 0aHydraulic engineering.14aEngineering.24aEngineering Fluid Dynamics.24aMath. Applications in Geosciences.24aApplications of Mathematics.24aMathematical Methods in Physics.24aFluids.24aContinuum Mechanics and Mechanics of Materials.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9783211252598 0aCISM International Centre for Mechanical Sciences, Courses and Lectures ;v48340uhttp://dx.doi.org/10.1007/3-211-38025-6 aZDB-2-ENG cEB c2552d2552