Abstract:We consider a simple model of the simultaneous expansion and/or contraction of multiple bubbles, initially having the same size, immersed in a finite melt volume. The bubble growth is due to the presence of a dissolved gas within the melt. The model has multiple equilibria, and we examine the stability of each equilibrium state, via linear stability analysis and numerical experiment. We show that in every case it is the largest bubble size that is stable. Finally, we consider a generalisation of the model whic… Show more
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