Supercooled Stefan problem with a Neumann type boundary condition
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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.
CitationBriozzo, A. C. (2020). Supercooled Stefan problem with a Neumann type boundary condition. Electronic Journal of Differential Equations, 2020(49), pp. 1-14.
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