analytical solution of Eq. (\[Dyn-Eq-Dissolution\]) in Appendix B.

Critical Bubble and Initial Conditions for the Bubble Growth
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The obtained equations for the bubble growth dynamics Eqs. (\[Dyn-Eq-Henry\]) and (\[Dyn-Eq\]) can be applied to the cases of both homogeneous and heterogeneous nucleation. Below we will consider only the homogeneous nucleation case.

Homogeneous nucleation of a gas bubble in a supersaturated solution means fluctuational mechanism of its appearance and needs a significant pressure drop (in the order of $10^3$ times). It is these conditions of bubble nucleation that take place in magmatic melts during volcanic eruptions \[\[Chernov-2004\]\]. Since we decided to describe only regular growth of a bubble, we need to exclude the very process of nucleation from our examination and consider a bubble only when it is already supercritical.

Under the notion of critical bubble we understand, as usually \[\[Slezov-2004\], \[Skripov-1972\]\], such a bubble which radius $R_c$ corresponds to the extremum of work of bubble formation. Critical bubble is in mechanical equilibrium with solution at the initial pressure $P_0$ and in chemical equilibrium with solution with concentration $n_0$ $$\label{P_Rc}
P_{R_c} = P_0\; ,$$ $$\label{n_Rc}
n_{R_c} = n_0\; .$$ These two conditions together with the solubility law unambiguously define the value 