Stability of a bubble expanding and translating through an inviscid liquid |
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| Authors: | Dinesh Khattar B. B. Chakraborty |
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| Affiliation: | (1) Department of Mathematics, Kirori Mal College, Delhi University, 110 007 Delhi, India;(2) Department of Mathematics, Delhi University, 110 007 Delhi, India |
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| Abstract: | A bubble expands adiabatically and translates in an incompressible and inviscid liquid. We investigate the number of equilibrium points of the bubble and the nature of stability of the bubble at these points. We find that there is only one equilibrium point and the bubble is stable there. |
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| Keywords: | Bubble Rayleigh’ s equation stability Hamiltonian Liapounov’ s function |
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