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

Lippoth, Friedrich

Original version

Lippoth, F.: On the justification of the quasistationary approximation of several parabolic moving boundary problems - Part II. In: Interfaces and Free Boundaries 18 (2016), Nr. 3, S. 413-439. DOI: https://doi.org/10.4171/IFB/369

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To cite the version in the repository, please use this identifier: https://doi.org/10.15488/2337

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Abstract:
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.
License of this version:	Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
Publication type:	Article
Publishing status:	publishedVersion
Publication date:	2016
Keywords english:	Maximal regularity, Moving boundary problem, Quasistationary approximation, Singular limit
DDC:	510 \| Mathematik