Artículos de revistas
A nonlinear supercooled Stefan problem
Fecha
2017-02Registro en:
Briozzo, Adriana Clotilde; Natale, María Fernanda; A nonlinear supercooled Stefan problem; Birkhauser Verlag Ag; Zeitschrift Fur Angewandte Mathematik Und Physik; 68; 2; 2-2017; 1-14
0044-2275
CONICET Digital
CONICET
Autor
Briozzo, Adriana Clotilde
Natale, María Fernanda
Resumen
We study the supercooled one-phase Stefan problem for a semi-infinite material with temperature-dependent thermal conductivity at the fixed face x=0. We obtain sufficient conditions for data in order to have existence of a solution of similarity type, local in time and finite time blow-up occurs. This explicit solution is obtained through the unique solution of an integral equation with the time as a parameter.