Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids

Matthias Georg Hieber, Hirokazu Saito

研究成果: Article査読

1 被引用数 (Scopus)

抄録

Consider the two-phase free boundary problem subject to surface tension and gravitational forces for a class of non-Newtonian fluids with stress tensors Tn of the form (Formula presented.) for (Formula presented.), respectively, where the viscosity functions (Formula presented.) satisfy (Formula presented.) and (Formula presented.) for (Formula presented.). It is shown that for given (Formula presented.) this problem admits a unique strong solution on (0,T) provided the initial data are sufficiently small in their natural norms.

本文言語English
ページ(範囲)1-24
ページ数24
ジャーナルJournal of Evolution Equations
DOI
出版ステータスAccepted/In press - 2016 9 19
外部発表はい

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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