Existence and uniqueness of solution for two one-phase Stefan problems with variable thermal coefficients

BOLLATI, J.; NATALE, M. F.; SEMITIEL, J.; TARZIA, D.A.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

PERGAMON-ELSEVIER SCIENCE LTD

Lugar: Amsterdam; Año: 2020 vol. 51 p. 1 - 11

1468-1218

One dimensional Stefan problems for a semi-innite material with temperaturedependent thermal coefficients are considered. Existence and uniquenessof solution are obtained imposing a Dirichlet, a Neumann or a Robin typecondition at xed face x = 0. Moreover, it is proved that the solution of theproblem with the Robin type condition converges to the solution of the problemwith the Dirichlet condition at the xed face. Computational examples are provided.