EXISTENCE, UNIQUENSSS FOR A ONE-PHASE STEFAN PROBLEM FOR A NON-CLASSICAL HEAT EQUATION

Exitence,uniqueness and local in time the solution of a onephase Stefan problem orresponding to a non- clasical heat equation for asmi in nite material is investigated by using Green Alliance representationmethod through an equivalent system of two integral di erential equations.

Keywords:

Free boundary problems , Stefan problem , Heat-Di usion equation , Explicit solutions , Green solution , Over-speci ed boundary condition , Mushy region , Convective boundary condition