On a free boundary problem for viscous incompressible flows

Yasunori Maekawa

研究成果: Review article査読

5 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)549-589
ページ数41
ジャーナルInterfaces and Free Boundaries
9
4
出版ステータスPublished - 2007
外部発表はい

ASJC Scopus subject areas

  • 表面および界面

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