Analytical solutions for problems of bubble dynamics

• DOI: 10.1016/j.physleta.2014.12.049
• Publication Date: 2015-01-06T17:04:03Z
• Authors: Nikolai A. Kudrya...; Dmitry I. Sinelsh...
• Keywords: Nonlinear Sciences - Exactly Solvable and Integrable Systems; Mathematics - Classical Analysis and ODEs; 0103 physical sciences; Classical Analysis and ODEs (math.CA); Fluid Dynamics (physics.flu-dyn); FOS: Mathematics; FOS: Physical sciences; Physics - Fluid Dynamics; Exactly Solvable and Integrable Systems (nlin.SI); 01 natural sciences

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.