We complete the Solomon-Wilson-Alexia desâ��s mushy zone model (Solomon, 1982) for the one-phase Lam�´e-Clapeyron-Stefan\nproblem by obtaining explicit solutions when a convective or heat flux boundary condition is imposed on the fixed face for a semi in finite\nmaterial.We also obtain the necessary and sufficient condition on data in order to get the explicit solutions for both cases\nwhich is new with respect to the original model. Moreover, when these conditions are satisfied, the two phase-change problems\nare equivalent to the same problem with a temperature boundary condition on the fixed face and therefore an inequality for the\ncoefficient which characterized one of the two free interfaces of the model is also obtained.
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