On the justification of the quasistationary approximation of several parabolic moving boundary problems - Part II

We rigorously justify the quasistationary approximations of two moving boundary problems. We work out a systematic procedure to derive a priori estimates that allow to pass to the singular limit. The problems under our consideration are a one-phase osmosis model and the one-phase Stefan problem with Gibbs-Thomson correction and kinetic undercooling. © European Mathematical Society 2016