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Abstract <p>The stabilization mechanisms of unboundedly increasing wave numbers of transient modes for single-wave solutions of the atmospheric dynamics equations are considered, taking into account the relief and various forms of baroclinicity with the preservation of the properties of the solutions as exact ones. Estimates of the wave numbers under the action of velocity shears and relief inclinations, taking into account baroclinicity, and in the Ekman boundary layer in comparison with observations of periodic cloud structures have been made. Parameter values at which wave blocking is possible are noted. Bimodal solutions of the equations are also indicated. Estimates of the parameters of transient wave stationarity taking into account baroclinicity in protoplanetary disks (as an example, different from baroclinicity in geophysical hydrodynamics) show a multiband structure of velocity fields.</p>

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Stabilization of Wave Disturbances in a Geostrophic Horizontal Shear Flow with Account for Relief and Baroclinicity

  • 期刊论文

  • 发表日期：

    2025年8月14日

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  • E. B. Gledzer,
  • A. E. Gledzer,
  • O. G. Chkhetiani

摘要

Abstract

The stabilization mechanisms of unboundedly increasing wave numbers of transient modes for single-wave solutions of the atmospheric dynamics equations are considered, taking into account the relief and various forms of baroclinicity with the preservation of the properties of the solutions as exact ones. Estimates of the wave numbers under the action of velocity shears and relief inclinations, taking into account baroclinicity, and in the Ekman boundary layer in comparison with observations of periodic cloud structures have been made. Parameter values at which wave blocking is possible are noted. Bimodal solutions of the equations are also indicated. Estimates of the parameters of transient wave stationarity taking into account baroclinicity in protoplanetary disks (as an example, different from baroclinicity in geophysical hydrodynamics) show a multiband structure of velocity fields.