Supercooled Stefan problem with a Neumann type boundary condition

Date

2020-05-22

Authors

Briozzo, Adriana C.

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Stefan problem, Supercooling, Non-linear thermal diffusivity, Similarity solution, Determination of thermal coefficient

Citation

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.

Rights

Attribution 4.0 International

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