INV SUPERIOR JUBILADO
TARZIA domingo alberto
artículos
Título:
The Stefan problem with temperature-dependent thermal conductivity and a convective term with a convective condition at the fixed face
Autor/es:
A. C. BRIOZZO; M.F. NATALE; D. A. TARZIA
Revista:
Communication on Pure and Applied Analysis
Editorial:
Wiley
Referencias:
Año: 2010 vol. 9 p. 1209 - 1220
ISSN:
1097-0312
Resumen:
We study a one-phase Stefan problem for a semi-infinite material with temperature-dependent thermal conductivity and a convective term with a convective boundary condition at the fixed face }$x=0$. { m We obtain sufficient conditions for data in order to have a parametric representation of the solution of the similarity type for }$tgeq t_{0}>0$ { m with} $% t_{0} $ { m an arbitrary positive time. We obtain explicit solutions through the unique solution of a Cauchy problem with the time as a parameter and we also give an algorithm in order to compute the explicit solution.