Variational Formulation of Fluid and Geophysical Fluid Dynamics Mechanics, Symmetries and Conservation Laws /

• Κύριοι συγγραφείς: Badin, Gualtiero (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Crisciani, Fulvio (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Advances in Geophysical and Environmental Mechanics and Mathematics,
• Θέματα: Fluids.; Atmospheric sciences.; Geophysics.; Meteorology.; Environmental sciences.; Fluid- and Aerodynamics.; Atmospheric Sciences.; Geophysics/Geodesy.; Math. Appl. in Environmental Science.; Geophysics and Environmental Physics.

This book describes the derivation of the equations of motion of fluids as well as the dynamics of ocean and atmospheric currents on both large and small scales through the use of variational methods. In this way the equations of Fluid and Geophysical Fluid Dynamics are re-derived making use of a un...

Πίνακας περιεχομένων:

• 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.