Nonlinear stationary vortices in gravitating fluid
The problem of nonlinear self-organization of perturbations in differentially rotating, nonuniform, gravitating systems is studied. Two types of stationary nonlinear solutions, in the form of tripolar vortices and vortex chains of gravitational potential and density, dependent on the spatial profiles of the basic state quantities, are found. They propagate with a constant velocity perpendicularly to the basic state gradients, and characteristic time scales for the creation of such vortical structures are shown to be much shorter than the corresponding intervals for gravitational contraction.
Tripolar vortices and vortex chains in a shallow atmosphere
Abstract A nonlinear equation describing the low-frequency perturbations of the depth of a shallow rotating atmosphere with a shear flow is derived, and integrated in a reference frame travelling with constant velocity in the direction of the flow. It is demonstrated that the second order differential equation obtained in that way comprises several spatially dependent functions describing the basic state, and reveals the possibility for various numerical and analytical solutions in the forms of tripolar vortices and vortex chains.
Is the Benussi Effect a Kinetic Depth Effect?
Rapid, successive presentations of an eccentric circle pattern and its mirror-image elicited apparent depth and, as has been previously demonstrated for the Benussi effect, there was an increase in apparent depth with an increase in circle eccentricity. Taken together, these data were interpreted as contravening Wallach, Adams, and Weisz's account of the Benussi effect as an instance of the kinetic depth effect.