Аннотация:The inertial parametric instability of a time-dependent spatially periodic flow
(Kolmogorov flow) of a rotating stratified Boussinesq fluid is studied, taking
fully into account the Coriolis force in the problem and with the possibility that
the flow has an arbitrary orientation in the horizontal plane. The existence of
instability is shown for velocity shears less than those indicated by the criterion
of inertial stability of a steady flow with the same spatial period and velocity
amplitude. In particular, the instability estimates are obtained for weakly stratified
geophysical media, for example for the deep layers of the ocean, and it
is suggested that the possible applications of the theory can also be directly
related to a laboratory experiment. Two different theoretical scenarios of inclusion
of the full Coriolis force account in the problem are considered, and in
both cases this leads to a reduction in the degree of inertial instability of the
basic flow.