CONICET and Depto. Matemática
FCE, Univ. Austral
Paraguay 1950, S2000FZF Rosario, Argentina
email: abriozzo@austral.edu.ar
Adriana C. Briozzo
Abstract:
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.
DOI: 10.58997/ejde.2020.49
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Adriana C. Briozzo CONICET and Depto. Matemática FCE, Univ. Austral Paraguay 1950, S2000FZF Rosario, Argentina email: abriozzo@austral.edu.ar |
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