Geodesic
On the justification of the quasistationary approximation of several parabolic moving boundary problems – Part II
Friedrich Lippoth1
1Leibniz Universität Hannover, Germany
Interfaces and free boundaries, Tome 18 (2016) no. 3, pp. 413-439

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DOI

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.
DOI : 10.4171/ifb/369
Classification : 35-XX, 93-XX
Mots-clés : Moving boundary problem, maximal regularity, quasistationary approximation, singular limit

Friedrich Lippoth  1

1 Leibniz Universität Hannover, Germany 
Friedrich Lippoth. On the justification of the quasistationary approximation of several parabolic moving boundary problems – Part II. Interfaces and free boundaries, Tome 18 (2016) no. 3, pp. 413-439. doi: 10.4171/ifb/369
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     title = {On the justification of the quasistationary approximation of several parabolic moving boundary problems {\textendash} {Part} {II}},
     journal = {Interfaces and free boundaries},
     pages = {413--439},
     year = {2016},
     volume = {18},
     number = {3},
     doi = {10.4171/ifb/369},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/369/}
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