Variational Formulation of Fluid and Geophysical Fluid Dynamics
-15%
portes grátis
Variational Formulation of Fluid and Geophysical Fluid Dynamics
Mechanics, Symmetries and Conservation Laws
Badin, Gualtiero; Crisciani, Fulvio
Springer International Publishing AG
09/2017
218
Dura
Inglês
9783319596945
15 a 20 dias
4794
Descrição não disponível.
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Quasi-Geostrophic Model;Conservation of vorticity;Particle labelling symmetry;Nonlinear geophysical fluid dynamics;Physical and mathematical oceanography;fluid- and aerodynamics;meteorology
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
