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J. V. Mustsevaya

Publications and source records attributed to J. V. Mustsevaya.

2 recordsLinked to original sources
arXiv1998

Resonance Type Instabilities in the Gaseous Disks of the Flat Galaxies I. The Acoustical Resonance Type Instability and the Absence of Vortex Sheet Stabilization on Shallow Water

Linear analysis of vortex sheet stability in the rotating gaseous disk or shallow water layer shows that presence of a central reflecting surface changes system stability significantly. An effect of absence of vortex sheet stabilization has been found as compressibility exceeds Landau criterion. The properties of multimode short-scale instability of acoustical resonance type are investigated and probability of its influence upon experiments on the rotating shallow water is discussed.

astro-ph↗
arXiv1998

Resonance Type Instabilities in the Gaseous Disks of the Flat Galaxies III. The gyroscopical resonance type instability

The stability of thin homogeneous gaseous disk with step discontinuity of velocity and density profile has been investigated analytically in the limitary case of large compressibility and numerically at spatially separated velocity and density kinks. The expressions for reflection and transmission coefficients at the axisymmetrical vortex sheet are derived. The possibility of gyroscopical resonance type instability development in addition to Kelvin--Helmholtz and centrifugal instabilities is shown and its physical mechanism is clarified. It has been discussed the possibility of application of obtained results to the stability analysis of the gaseous disks of the real flat galaxies.

astro-ph↗