Nonlinear Waves in Fluids : Recent Advances and Modern Applications / edited by Roger Grimshaw.
Material type: TextPublication details: Wien ; New York : Springer, 2005.Description: 196 p. : ill. ; 24 cmISBN:- 3211252592 (pbk.)
- 9783211252598 (pbk.)
- 532/.0593 22
- QA927 .N685 2005
- 33.27
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QA901 .M67 2013 An introduction to fluid mechanics / | QA901 .N35 1999 Introduction to Fluid Mechanics / | QA901 .T78 2000 An Introduction to the Mechanics of Fluids: | QA927 .N685 2005 Nonlinear Waves in Fluids : Recent Advances and Modern Applications / | QA931 .L283 1986 Theory of Elasticity / | QA935 .C45 2008 Finite element methods for engineering sciences : theoretical approach and problem solving techniques / | QA935 .D24 2006 Wave Progagation [sic], Observation, and Control in 1-d flexible multi-structures / |
Includes bibliographical references.
Korteweg-de Vries Equation (R. Grimshaw).- Weakly Nonlinear Wave Packets and the Nonlinear Schrodinger Equation (F. Dias, T. Bridges).- Wave Interactions (J. Vanneste).- Wave-mean Interaction Theory (O. Buhler).- Wave Turbulence with Applications to Atmospheric and Oceanic Waves (V. Zeitlin).- Nonlinear Amplitude Equations and Solitons in Bose-Einstein Condensates (G. Huang).
The work covers asymptotic methods for the derivation of canonical evolution equations, such as the Korteweg-deVries and nonlinear Schrodinger equations, descriptions of the basic solution sets of these evolution equations, and the most relevant and compelling applications. 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 been found.
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