International Journal of Differential Equations
Volume 2010 (2010), Article ID 868059, 19 pages
Research Article

Exact Solutions for Nonclassical Stefan Problems

Departamento de Matemática-CONICET, FCE, Universidad Austral, Paraguay 1950, S2000FZF Rosario, Argentina

Received 17 February 2010; Revised 17 June 2010; Accepted 3 August 2010

Academic Editor: Maurizio Grasselli

Copyright © 2010 Adriana C. Briozzo and Domingo A. Tarzia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider one-phase nonclassical unidimensional Stefan problems for a source function F which depends on the heat flux, or the temperature on the fixed face x=0. In the first case, we assume a temperature boundary condition, and in the second case we assume a heat flux boundary condition or a convective boundary condition at the fixed face. Exact solutions of a similarity type are obtained in all cases.