Description
Variational Formulation of Fluid and Geophysical Fluid Dynamics, Softcover reprint of the original 1st ed. 2018
Mechanics, Symmetries and Conservation Laws
Advances in Geophysical and Environmental Mechanics and Mathematics Series
Authors: Badin Gualtiero, Crisciani Fulvio
Language: EnglishSubjects for Variational Formulation of Fluid and Geophysical Fluid...:
189.89 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Badin Gualtiero, Crisciani FulvioPublication date: 08-2018
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189.89 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Badin Gualtiero, Crisciani FulvioPublication date: 09-2017
Support: Print on demand
Description
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Dedication.- 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.
Dr. 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.
Emphasizes a subject matter of interdisciplinary interest for meteorology, oceanography, physics and applied mathematics
Provides a detailed derivation of the equations of motion from conserved quantities and from system symmetries
Focuses in particular on the analysis and consequences of particle relabeling symmetry
Applies results to different approximations, such as the semi-geostrophic equations, and different relations, such as the conservation of wave activity
Includes supplementary material: sn.pub/extras