| Abstract: | We examine the linear stability of a thin film of viscous fluidon the inside of a cylinder with horizontal axis, rotating aboutthis axis. Unlike previous models, both axial and azimuthalcomponents of the hydrostatic pressure gradient are taken intoaccount, which yields solutions which collapse in both dimensions.Two types of such solutions are found: disturbances with zeroand non-zero net mass (the former have greater explosion rates,that is, their amplitudes grow faster than those of the latter).It is also shown that, despite the existence of exploding disturbances,all solutions with harmonic dependence on time (eigenmodes)are neutrally stable |
