Rotating and stratified flows lead to waves in the bulk of the fluid, as a result of Coriolis
force and buoyancy force due to density stratification acting as restoring mechanisms.
Density stratification occurs due to temperature or concentration gradients in the ocean.
It has been known that the internal waves play a major role in the mixing and global
oceanic turbulent dynamics. Internal waves are inherently unstable in nature with people
citing triadic resonance as the major reason behind the instabilities. In the proposed
thesis, we do a local stability analysis on the internal waves of various spatial forms,
namely plane waves, modes and beams. An important feature of local stability analysis is
that it doesnt assume the instability as originating from triadic resonance rather it takes
the classical approach of superimposing small perturbations to the internal wave field
and then look for perturbations that grow in time. We further plan to do experiments
with a wave generator that will help us understand the non-linear regimes that theory
cannot predict due to linearized governing equations.