On a free boundary problem for viscous incompressible flows

Yasunori Maekawa

Research output: Contribution to journalReview articlepeer-review

5 Citations (Scopus)

Abstract

We shall discuss a free boundary problem for viscous incompressible fluids which is motivated by the phase transition of materials in a flowing fluid. The problem is formulated as the coupled Stokes/mean curvature equations. Our model is also regarded as the relaxation of a two-phase free boundary problem with surface tension on the interface. We shall construct a unique time-local solution of the problem by establishing the optimal regularity of the velocity field in the tangential directions to the interface.

Original languageEnglish
Pages (from-to)549-589
Number of pages41
JournalInterfaces and Free Boundaries
Volume9
Issue number4
Publication statusPublished - 2007 Dec 1

ASJC Scopus subject areas

  • Surfaces and Interfaces

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