Adriana C. Briozzo
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.
Submitted January 9, 2020. Published May 22, 2020.
Math Subject Classifications: 35R35, 80A22, 35K55.
Key Words: Stefan problem; supercooling; non-linear thermal diffusivity; similarity solution; determination of thermal coefficient.
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| Adriana C. Briozzo |
CONICET and Depto. Matemática
FCE, Univ. Austral
Paraguay 1950, S2000FZF Rosario, Argentina
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