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

Matthias Georg Hieber; Hirokazu Saito

doi:10.1007/s00028-016-0351-5

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

Research output: Contribution to journal › Article

Abstract

Consider the two-phase free boundary problem subject to surface tension and gravitational forces for a class of non-Newtonian fluids with stress tensors T_n 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.

Original language	English
Pages (from-to)	1-24
Number of pages	24
Journal	Journal of Evolution Equations
DOIs	https://doi.org/10.1007/s00028-016-0351-5
Publication status	Accepted/In press - 2016 Sep 19
Externally published	Yes

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Keywords

non-Newtonian fluids
strong solutions
surface tension
Two-phase free boundary problems

ASJC Scopus subject areas

Mathematics (miscellaneous)

Cite this

Hieber, M. G., & Saito, H. (Accepted/In press). Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids. Journal of Evolution Equations, 1-24. https://doi.org/10.1007/s00028-016-0351-5

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Access to Document

10.1007/s00028-016-0351-5