SOME RESULTS ON A NEW MODEL OF PHASE RELAXATION
Vincenzo Recupero · Mathematical Models and Methods in Applied Sciences · 2002
This paper deals with the analysis of the relaxed Stefan problem with the relaxation dynamics for the phase variable χ [Formula: see text] where θ stands for the temperature. We prove the well-posedness of the problem by means of a fixed point-technique for multivalued maps and show that its solution converges to the solution of the Stefan problem as the relaxation parameter ε tends to zero.