Supercooled Stefan problem with a Neumann type boundary condition
Briozzo, Adriana C.
Texas State University, Department of Mathematics
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.
Stefan problem, Supercooling, Non-linear thermal diffusivity, Similarity solution, Determination of thermal coefficient
Briozzo, A. C. (2020). Supercooled Stefan problem with a Neumann type boundary condition. <i>Electronic Journal of Differential Equations, 2020</i>(49), pp. 1-14.
Attribution 4.0 International