Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 15, pp. 1-27.

Title: Compact attractors for a Stefan problem with kinetics
   
Authors: Michael L. Frankel (Indiana Univ. - Purdue Univ.,  USA)
         Victor Roytburd (Rensselaer Polytechnic Inst., NY, USA)


Abstract:  
 We prove existence of a unique bounded classical
 solution for a one-phase free-boundary problem with kinetics
 for continuous initial conditions.
 The main result of this paper establishes existence of a
 compact attractor for classical solutions of the problem.
 
Submitted January 25, 2002. Published February 12, 2002.
Math Subject Classifications: 35R35, 74N20, 80A25.
Key Words: Stefan problem; compact attractors; kinetic condition.