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Titlebook: Nonlinear Waves in Fluids: Recent Advances and Modern Applications; Roger Grimshaw Book 2005 CISM Udine 2005 applied mathematics.dynamics.

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書目名稱Nonlinear Waves in Fluids: Recent Advances and Modern Applications
編輯Roger Grimshaw
視頻videohttp://file.papertrans.cn/668/667759/667759.mp4
叢書名稱CISM International Centre for Mechanical Sciences
圖書封面Titlebook: Nonlinear Waves in Fluids: Recent Advances and Modern Applications;  Roger Grimshaw Book 2005 CISM Udine 2005 applied mathematics.dynamics.
描述Although 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 th
出版日期Book 2005
關(guān)鍵詞applied mathematics; dynamics; fluid dynamics; fluid flow; fluid mechanics; mechanics; nonlinear wave; phys
版次1
doihttps://doi.org/10.1007/3-211-38025-6
isbn_softcover978-3-211-25259-8
isbn_ebook978-3-211-38025-3Series ISSN 0254-1971 Series E-ISSN 2309-3706
issn_series 0254-1971
copyrightCISM Udine 2005
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Guoxiang Huangt motives which, to be sure, are not elaborated and explicitly formulated before the final and definitive phase of Husserl’s evolution (viz., that of transcendental phenomenology) is reached, but which may, and must, be discerned throughout the whole development of Husserl’s thought, though, of cour
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Wave-mean interaction theory,e amplitude a ? 1 means that the use of linear theory for .(.) waves propagating on an .(1) background flow is allowed. Simple geometry means that the flow is periodic in one spatial coordinate and that the .(1) background flow does not depend on this coordinate. This allows the use of averaging ove
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