VORTEX FORMATION IN SHEARED FLOW DRIVEN FLUCTUATIONS IN NONUNIFORM MAGNETIZED DUSTY GASES

The linear and nonlinear properties of low-frequency (in comparison wi th the ion gyrofrequency) electrostatic and electromagnetic waves in n onuniform, magnetized dusty plasmas with sheared plasma flows are exam ined. For this purpose, the multifluid dusty plasma model is employed to derive the relevant nonlinear equations for the modified dust-conve ctive cells as well as for the coupled dust Alfven waves and dust-conv ective cells. In the linear limit, we obtain dispersion relations whic h exhibit instabilities of both the electrostatic and electromagnetic waves. In the nonlinear case, it is shown that the newly derived dynam ical equations for weakly coupled waves admit various types of vortex solutions. The results can have relevance to the understanding of the salient features of nonthermal fluctuations and coherent vortex struct ures in nonuniform dusty magnetoplasmas such as those in the Earth's i onosphere as well as in cometary tails and interstellar clouds.