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OverviewFull Product DetailsAuthor: Gualtiero Badin , Fulvio CriscianiPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 1st ed. 2018 Weight: 4.794kg ISBN: 9783319596945ISBN 10: 3319596942 Pages: 218 Publication Date: 06 September 2017 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsDedication.- Foreword by Geoffrey K. Vallis.- Preface.- Acknowledgements.- Fundamental Equations of Fluid and Geophysical Fluid Dynamics.- Mechanics, Symmetries and Noether’s Theorem.- Variational Principles in Fluid Dynamics, Symmetries and Conservation Laws.- Variational Principles in Geophysical Fluid Dynamics and Approximated Equations.- Appendix A - Derivation of Equation (1.2).- Appendix B - Derivation of the Conservation of Potential Vorticity from Kelvin’s Circulation Theorem.- Appendix C - Some Simple Mathematical Properties of the Legendre Transformation.- Appendix D - Derivation of Equation (2.114).- Appendix E - Invariance of the Equations of Motion (2.116) under a Divergence Transformation.- Appendix E - Invariance of the Equations of Motion (2.190) under a Divergence Transformation.- Appendix F - Functional Derivatives.- Appendix G - Derivation of Equation (2.229).- Appendix H - Invariance of the Equations of Motion (2.217) under a Divergence Transformation.- Appendix I - Proofs of the Algebraic Properties of the Poisson Bracket.- Appendix J - Some Identities concerning the Jacobi Determinant.- Appendix K - Derivation of (3.131).- Appendix L - Scaling the Rotating Shallow Water Lagrangian Density.ReviewsThis book is mainly about derivations. For this reason, it is well suited for self-study and could be used in an advanced graduate course focused on variation methods and fluid mechanics. The material covered in this book should appeal to graduate students, postdocs, professors, and research scientists in physical oceanography, applied mathematics, applied physics, atmospheric dynamics, and ocean engineering. (Colin R. Meyer, Pure and Applied Geophysics, Vol. 175, 2018) Author InformationDr. Gualtiero Badin is professor at the Universität Hamburg (Germany). He is specialized in geophysical fluid dynamics, ocean dynamics, especially at frontal scales, geostrophic turbulence and nonlinear dynamics. Dr. Fulvio Crisciani is lecturer at the University of Trieste (Italy). He has more than 32 years experience in oceanography and is specialized in geophysical fluid dynamics and the climate of the gulf of Trieste. Tab Content 6Author Website:Countries AvailableAll regions |
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