… relevance is the instability of a selfgravitating, internally heated, rotating fluid sphere. The …
interaction can generate a mean flow in the form of a differential rotation. This finite amplitude …

… differential equations in the radial variable by expanding the … in this case find a stable method
of integration by integrating … -h) and q(l), is stable. In order to start the integration we need a …

… dynamical stability of a differentially rotating disc (or torus) of fluid of uniform entropy and
uniform specific angular momentum. Such a fluid is neutrally stable … If we define spherical polar …

… for three- than for two-dimensional disturbances can be deduced from our differential … of a
three-dimensional boundary layer (which is generated by rotation of the sphere) is very much …

… on the stability of differential rotation in stellar interiors. The major portion of this paper is
devoted to the derivation of linear stability … to the equatorial plane of a nearly spherical star. All …

… , 31) grid to within several percent, the relative instability of the run led us to use the finer mesh
for … for steady, linear shear flow past a nontranslating, non-rotating spherical particle. This …

… The immediate polar regions are omitted in these plots because it is difficult to obtain stable
… There is evidently some symmetry breaking between the two hemispheres. We believe that …

… flow due to a rotating disk in an otherwise stationary fluid, has long been a prototype for studies
of instability … speed of except for the boundary-layer effects of the differential rotation, Au. …

… , differentially heated, rotating Boussinesq fluid on a sphere is … We restrict consideration
to the case of statically stable … the stability of the atmosphere from the large-scale circulation. …

… , mostly with planar, axial or spherical symmetry. … The instability of Couette flow between
rotating cylinders is analogous, … theory of stability of systems of ordinary differential equations…