Stability of a Bubble Expanding and Translating Through an Inviscid Liquid

Proceedings Mathematical Sciences

Dinesh Khattar¹  B B Chakraborty² 

[1] Department of Mathematics, Kirori Mal College, Delhi University, Delhi 0 00, India$$;Department of Mathematics, Delhi University, Delhi 0 00, India$$

关键词: Bubble;    Rayleigh’s equation;    stability;    Hamiltonian;    Liapounov’s function.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown