Variational Formulation of Fluid and Geophysical Fluid Dynamics: Mechanics, Symmetries and Conservat
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Beschreibung
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.
Eigenschaften
Breite: | 155 |
Gewicht: | 367 g |
Höhe: | 235 |
Länge: | 19 |
Seiten: | 218 |
Sprachen: | Englisch |
Autor: | Fulvio Crisciani, Gualtiero Badin |
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