Supercooled Stefan problem with a Neumann type boundary condition

We consider a supercooled one-dimensional Stefan problem with a Neumann boundary condition and a variable thermal diffusivity. We establish a necessary and sufficient condition for the heat flux at the fixed face x = 0, in order to obtain existence and uniqueness of a similarity type solution. Moreover we over-specified the fixed face x = 0 by a Dirichlet boundary condition aiming at the simultaneous determination of one or two thermal coefficients.Fil: Briozzo, Adriana Clotilde. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentin