JournalsifbVol. 2, No. 4pp. 381–411

A free-boundary problem in combustion theory

  • Noemi Wolanski

    Universidad de Buenos Aires, Argentina
  • Julián Fernández Bonder

    Universidad de Buenos Aires, Argentina
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Abstract

This paper presents a study of the relations between the modified Stefan problem in a plane and its quasi-steady approximation. In both cases the interfacial curve is assumed to be a polygon. It is shown that the weak solutions to the Stefan problem converge to weak solutions of the quasi-steady problem as the bulk specific heat tends to zero. The initial interface has to be convex of sufficiently small perimeter.

Cite this article

Noemi Wolanski, Julián Fernández Bonder, A free-boundary problem in combustion theory. Interfaces Free Bound. 2 (2000), no. 4, pp. 381–411

DOI 10.4171/IFB/26