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- W2019964291 abstract "Abstract A Hamiltonian representation for the interaction between vortical and internal wave motion in an inviscid, stratified fluid in a rotating frame is formulated. A Lagrangian and compressible representation of the flow is used in order to avoid difficulties associated with non-canonical coordinates and constrained systems. A quadratic Hamiltonian for the linearized motion around a state of no flow is derived. Canonical transformations are then employed in order to isolate normal mode coordinates and write the Hamiltonian as a sum of independent harmonic oscillators. The three possible modes of linearized motion are the acoustic, internal wave and potential vorticity carrying motions. The acoustic modes are of little interest in the problem at hand and are retained in order to avoid difficulties associated with the incompressibility constraint. We discuss ways in which these modes may be eliminated or rendered harmless. The coordinate corresponding to the potential vorticity carrying mode is absent f..." @default.
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- W2019964291 date "1991-11-01" @default.
- W2019964291 modified "2023-10-04" @default.
- W2019964291 title "Hamiltonian dynamics of coupled potential vorticity and internal wave motion: I. linear modes" @default.
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- W2019964291 doi "https://doi.org/10.1080/03091929108227775" @default.
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