Electron. J. Differential Equations, Vol. 2020 (2020), No. 49, pp. 1-14.

Supercooled Stefan problem with a Neumann type boundary condition

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.

Show me the PDF file (360 KB), TEX file for this article.

Adriana C. Briozzo
CONICET and Depto. Matemática
FCE, Univ. Austral
Paraguay 1950, S2000FZF Rosario, Argentina
email: abriozzo@austral.edu.ar

Return to the EJDE web page