Generalized Lame-Clapeyron Solution for a One-Phase Source Stefan Problem

Authors

José Luis Menaldi, Wayne State UniversityFollow
Domingo Alberto Tarzia, PROMAR (CONICET-UNR)

Document Type

Article

Abstract

In this paper we obtain a generalized Lamé-Clapeyron solution for a one-phase Stefan problem with a particular type of sources. Necessary and sufficient conditions are given in order to characterize the source term which provides a unique solution. Some estimates on the free boundary and the temperature are presented. In particular, asymptotic expansions are given for small Stefan number and source.

Disciplines

Analysis

Comments

The final publication is available at Springer via https://www.springer.com/mathematics/journal/40314

Recommended Citation

J.-L. Menaldi and D. A. Tarzia, "Generalized Lame-Clapeyron solution for a one-phase source Stefan problem", Comp. Appl. Math., 12 (1993), pp. 123-142.