INV SUPERIOR JUBILADO
TARZIA Domingo Alberto
artículos
Título:
A class of moving boundary problems with a source term: application of a reciprocal transformation
Autor/es:
BRIOZZO, ADRIANA C.; ROGERS, COLIN; TARZIA, DOMINGO A.
Revista:
ACTA MECHANICA
Editorial:
SPRINGER WIEN
Referencias:
Año: 2023 p. 1 - 12
ISSN:
0001-5970
Resumen:
We consider a new Stefan-type problem for the classical heat equation with a latent heat and phase-change temperature depending of the variable time. We prove the equivalence of this Stefan problem with a class of boundary value problems for the nonlinear canonical evolution equation involving a source term with two free boundaries. This equivalence is obtained by applying a reduction to a Burgers equation and a reciprocal-type transformations. Moreover, for a particular case, we obtain a unique explicit solution for the two different problems.
