• Stability of a bubble expanding and translating through an inviscid liquid

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      https://www.ias.ac.in/article/fulltext/pmsc/112/02/0361-0365

    • Keywords

       

      Bubble; Rayleigh’s equation; stability; Hamiltonian; Liapounov’s function

    • 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.

    • Author Affiliations

       

      Dinesh Khattar1 B B Chakraborty1 2

      1. Department of Mathematics, Kirori Mal College, Delhi University, Delhi - 110 007, India
      2. Department of Mathematics, Delhi University, Delhi - 110 007, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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