Abstract
This paper is concerned with the analysis of evolution or stationary free boundary problems arising in growth and dissolution phenomena. The heterogeneous system considered is a grain exchanging mass with a liquid solution. The evolution of the concentration of the liquid solution is described by a parabolic moving boundary problem (5). The associated elliptic stationary free boundary problem may exhibit 0, 1, 2 or 3 solutions. The stability of the equilibrium solutions is studied by means of analytical and numerical techniques. The results obtained are genuinely more complex than those, wellknown, for fixed boundary value problems. Finally, some important open problems are listed.
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