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arXiv · 1608.00811

Analytical solutions for problems of bubble dynamics

Nikolai A. Kudryashov·Dmitry I. Sinelshchikov
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Abstract

Recently, an asymptotic solution of the Rayleigh equation for an empty bubble in $N$ dimensions has been obtained. Here we give the closed--from general analytical solution of this equation. We also find the general solution of the Rayleigh equation in $N$ dimensions for the case of a gas--filled hyperspherical bubble. In addition, we include a surface tension into consideration.

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Nikolai A. Kudryashov, Dmitry I. Sinelshchikov. 2016-08-02. Analytical solutions for problems of bubble dynamics. https://doi.org/10.1016/j.physleta.2014.12.049

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