### On the Growth of Vapour Bubble in Metastable Liquid as Variational Problem

#### Abstract

Bubble growing process is considered theoretically when bubble consists saturated vapour of liquid and when we have vapour-gas bubble on the base of generalized Rayleigh-Plesset equation. For this purpose we use variational method with help of which we seek for those cases corresponding Euler-Poisson equations integral curves. Obtained EP- equations allow us to find extremals of our variational task. In conclusion, the Rayleigh-Taylor instability is considered general case of nonspherical perturbances for spherical bubbles and the case of the radial perturbances of bubbles.

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PDF#### References

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