INV SUPERIOR JUBILADO
TARZIA domingo alberto
artículos
Título:
A Stefan problem for a non-classical heat equation with a convective condition
Autor/es:
A. C. BRIOZZO; D. A. TARZIA
Revista:
APPLIED MATHEMATICS AND COMPUTATION
Editorial:
ELSEVIER SCIENCE INC
Referencias:
Año: 2010 vol. 217 p. 1209 - 1220
ISSN:
0096-3003
Resumen:
We prove the existence and uniqueness, local in time, of the solution of a one-phase Stefan problem for a non-classical heat equation for a semi-infinite material with a convective boundary condition at the fixed face% $\;x=0$. Here the heat source depends on the temperature at the fixed face $% x=0\;$that provides a heating or cooling effect depending on the properties of the source term. We use the Friedman-Rubinstein integral representation method and the Banach contraction theorem in order to solve an equivalent system of two Volterra integral equations. We also obtain a comparison result of the solution (the temperature and the free boundary) with respect to the one corresponding with null source term.