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Part I InternalWaves in Stratified Fluid
Part II Introduction to Lie Group Analysis
Part III Group Analysis of InternalWaves
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- 9.1 Introduction
- 9.1.1 General discussion of conservation equations
- 9.1.2 Variational derivatives of expressions with Jacobians
- 9.1.3 Nonlocal conserved vectors
- 9.1.4 Computation of nonlocal conserved vectors
- 9.1.5 Local conserved vectors
- 9.2 Utilization of obvious symmetry
- 9.2.1 Translation of v
- 9.2.2 Translation of r
- 9.2.3 Translation of y
- 9.2.4 Derivation of the flux of conserved vectors with known densities
- 9.2.5 Translation of x
- 9.2.6 Time translation
- 9.2.7 Conservation of energy
- 9.3 Use of semi-dilation
- 9.3.1 Computation of the conserved density
- 9.3.2 Conserved vector
- 9.4 Conservation law due to rotation
- 9.5 Summary of conservation laws
- 9.5.1 Conservation laws in integral form
- 9.5.2 Conservation laws in differential form
