A justification for the thin film approximation of Stokes flow with surface tension

M. Günther, G. Prokert

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)
5 Downloads (Pure)

Abstract

In the free boundary problem of Stokes flow driven by surface tension, we pass to the limit of small layer thickness. It is rigorously shown that in this limit the evolution is given by the well-known thin film equation. The main techniques are appropriate scaling and uniform energy estimates in Sobolev spaces of sufficiently high order, based on parabolicity.
Original languageEnglish
Pages (from-to)2802-2845
JournalJournal of Differential Equations
Volume245
Issue number10
DOIs
Publication statusPublished - 2008

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