On the justification of the quasistationary approximation of several parabolic moving boundary problems - Part II (Q345906)
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scientific article; zbMATH DE number 6659250
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the justification of the quasistationary approximation of several parabolic moving boundary problems - Part II |
scientific article; zbMATH DE number 6659250 |
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On the justification of the quasistationary approximation of several parabolic moving boundary problems - Part II (English)
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2 December 2016
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Summary: 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. For part I, see [the author, Nonlinear Anal., Real World Appl. 17, 1--22 (2014; Zbl 1296.35221)].
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moving boundary problem
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maximal regularity
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quasistationary approximation
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singular limit
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0.99124986
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0.8817812
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0.8666768
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0.8661058
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0.8660427
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0.86366045
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