INV SUPERIOR JUBILADO
TARZIA domingo alberto
artículos
Título:
A one-phase Stefan problem for a non-classical heat equation with a heat flux condition on the fixed face
Autor/es:
A.C. BRIOZZO - D.A. TARZIA
Revista:
APPLIED MATHEMATICS AND COMPUTATION
Editorial:
Elsevier
Referencias:
Año: 2006 vol. 182 p. 809 - 819
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 heat flux boundary condition at the fixed facex=0 . Here the heat source depends on the temperature at the fixed face x=0. 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.
