Existence of weak solutions for non-stationary flows of fluids with shear thinning dependent viscosities under slip boundary conditions in half space

This paper treats the system of motion for an incompressible non-Newtonian fluids of the stress tensor described by p-potential function subject to slip boundary conditions in ℝ + 3 . Making use of the Oseentype approximation to this model and the L ∞ -truncation method, one can establish the existe...

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Bibliographic Details
Published inScience China. Mathematics Vol. 61; no. 4; pp. 727 - 744
Main Author Zang, Aibin
Format Journal Article
LanguageEnglish
Published Beijing Science China Press 01.04.2018
Springer Nature B.V
Subjects
Applications of Mathematics
Boundary conditions
Computational fluid dynamics
Existence theorems
Fluid flow
Incompressible flow
Mathematics
Mathematics and Statistics
Newtonian fluids
Non Newtonian fluids
Potential flow
Shear thinning (liquids)
Slip
Viscosity
35D05
weak solution
non-Newtonian fluid
Oseen-type approximation
54B15
34A34
76D05
slip boundary conditions
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Summary:This paper treats the system of motion for an incompressible non-Newtonian fluids of the stress tensor described by p-potential function subject to slip boundary conditions in ℝ + 3 . Making use of the Oseentype approximation to this model and the L ∞ -truncation method, one can establish the existence theorem of weak solutions for p-potential flow with p ∈ ( 8 5 , 2] provided that large initial are regular enough.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-016-0686-1