An integral equation in order to solve a one-phase Stefan problem with nonlinear thermal conductivity (original) (raw)
We study a one-phase Stefan problem for a semi-in¯nite material with temperaturedependent thermal conductivity with a constant temperature or a heat°ux condition of the type ¡q 0 = p t (q 0 > 0) at the¯xed face x = 0. We obtain in both cases su±cient conditions for data in order to have a parametric representation of the solution of the similarity type for t¸t 0 > 0 with t 0 an arbitrary positive time. These explicit solutions are obtained through the unique solution of an integral equation with the time as a parameter.
Loading Preview
Sorry, preview is currently unavailable. You can download the paper by clicking the button above.