Аннотация:The talk addresses the problem of the behavior modes of baroclinic geostrophic vortices with ellipsoidal-shaped cores in horizontal flows with a constantvertical shear. In such flows, the vortex core is confined between two stationaryhorizontal planes, which the vortex touches at its upper and lower points. Underthe influence of the background flow, the lengths of all the axes of the ellipsoidcan change, and the angles of orientation of the vortex in space also change. Theauthors identify three modes of vortex behavior. The first mode is the survivalmode of the vortex in a shear flow, where the vortex undergoes finite oscillationsof the semi-axes for an indefinite period of time and may exhibit complex behavior in terms of its orientation angles. This mode corresponds to strong vortices. Inthe second mode, the vortex is stretched along the flow from the very beginning,remaining with finite horizontal dimensions perpendicular to the flow and compressed vertically. This is the destruction mode of the vortex by the flow, wherethe final result is the formation of a thin vertical structure of the ocean from thevortex. Weak vortices undergo this type of evolution. This mode is referred to asthe “unlimited stretching mode.” Finally, there is a third mode, called the “finitelifetime mode,” in which, for a finite period of time, the vortex behaves similarlyto the survival mode (its shape is finitely deformed, and the vortex rotates or oscillates in space), but eventually, the vortex stretches indefinitely in a mannersimilar to the destruction mode. The authors have delineated the regions of existence for each mode on a dimensionless parameter plane of the problem and determined the boundaries separating the above-mentioned modes of vortex behavior.
