6 papers
Phase space structure of nonautonomous one-degree-of-freedom Hamiltonian systems with nontrivial time dependence
F. J. Beron-Vera, M. J. Olascoaga, M. G. Brown
It has been recently argued that near-integrable nonautonomous one-degree-of-freedom Hamiltonian systems are constrained by KAM theory even when the time-dependent (nonintegrable)…
A Didactic Approach to Linear Waves in the Ocean
F. J. Beron-Vera
The general equations of motion for ocean dynamics are presented and the waves supported by the (inviscid, unforced) linearized system with respect to a state of rest are derived.…
Linear waves and baroclinic instability in an inhomogeneous-density layered primitive-equation ocean model
F. J. Beron-Vera, M. J. Olascoaga, J. Zavala-Garay
We consider a multilayer generalization of Ripa's inhomogeneous-density single-layer primitive-equation model. In addition to vary arbitrarily in horizontal position and time, the…
Rays, modes, wavefield structure and wavefield stability
M. G. Brown, F. J. Beron-Vera, I. Rypina +1
Sound propagation is considered in range-independent environments and environments consisting of a range-independent background on which a weak range-dependent perturbation is supe…
Deep ocean influence on upper ocean baroclinic instability saturation
M. J. Olascoaga, F. J. Beron-Vera, J. Sheinbaum
In this paper we extend earlier results regarding the effects of the lower layer of the ocean (below the thermocline) on the baroclinic instability within the upper layer (above th…
Constrained-Hamiltonian Shallow-Water Dynamics on the Sphere
F. J. Beron-Vera
Salmon's nearly geostrophic model for rotating shallow-water flow is derived in full spherical geometry. The model, which results upon constraining the velocity field to the height…