Abstract
We have studied magma solidification during volcanic events on the basis of conductive interchange in systems that undergo phase changes within a wide temperature range. Assuming this conductive hypothesis, we approach the heat equation via an enthalpic path, which takes account of the phase changes, where the thermodynamic parameters are a function of system temperature. This result is obtained by solving a nonlinear partial differential equation. Applying the finite group theory, we have obtained an analytic solution to the problem in different geometries.
