Other
Scientific paper
Apr 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991pasj...43..177n&link_type=abstract
Astronomical Society of Japan, Publications (ISSN 0004-6264), vol. 43, no. 2, 1991, p. 177-193.
Other
3
Baroclinity, Barotropism, Dynamic Stability, Flow Stability, Kelvin-Helmholtz Instability, Rotating Fluids, Space-Time Functions, Angular Velocity, Continuity Equation, Equilibrium, Linearization
Scientific paper
Dynamical stability of rotating fluids in Kerr spacetime is studied. A sufficient condition for stability, consising of two criteria, is derived: one is the Richardson criterion related to the Kelvin-Helmholtz instability; the other is a criterion related to the barotropic and baroclinic instabilities. These two criteria are natural extensions of those known in nonrelativistic cases to a general relativistic regime. They are satisfied simultaneously if and only if an effective Brunt-Vaisala frequency is real throughout the flow region and the fluid is uniformly rotating. The latter means that the angular velocity, Omega = U exp phi/U exp t is spatially constant. An upper bound for the growth rate of unstable modes is obtained.
Nakayama Kunji
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