On an initial value problem concerning Taylor instability of incompressible fluids
Abstract: By taking the effect of surface tension and viscosity into consideration, Bellman and Pennington  have generalized the original treatment of the problem of Taylor instability . They claim, however, that a problem in which the motion starts from rest cannot be treated with their linearized formulation. In this paper, the initial value problem is treated and, although the algebra becomes more complicated, the linearized analysis suffices. In particular, the cut-off wave number as found in  is not modified.
-  Geoffrey Taylor, The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I, Proc. Roy. Soc. London. Ser. A. 201 (1950), 192–196. MR 0036104, https://doi.org/10.1098/rspa.1950.0052
-  Richard Bellman and Ralph H. Pennington, Effects of surface tension and viscosity on Taylor instability, Quart. Appl. Math. 12 (1954), 151–162. MR 0063198, https://doi.org/10.1090/S0033-569X-1954-63198-1
- Sir Geoffrey Taylor, The instability of liquid surfaces when accelerated in a direction perpendicular to their plane, I, Proc. Roy. Soc. (London) A201, 192-196 (1950) MR 0036104
- B. Bellman and R. H. Pennington, Effect of surface tension and viscosity on Taylor instability, Quart. Appl. Math. 12, 151-162 (1954) MR 0063198
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