On Global Existence of Smooth Two-Dimensional Steady Flows for a Class of Non-Newtonian Fluids under Various Boundary Conditions

Petr Kaplický, Josef Málek and Jana Stará

A chapter in Applied Nonlinear Analysis, 2002, pp 213-229 from Springer

Abstract: Abstract We study steady two-dimensional flows of shear dependent fluids in a bounded domain subjected to three kinds of boundary conditions: (i) general nonhomogeneous Dirichlet, (ii) nonhomogeneous Dirichlet with zero normal component at the boundary (fixed wall) and (iii) free-stick (slippery boundary). The existence of a C1,α-solution is proved: while condition (i) requires smallness of a given function at boundary, conditions (ii) provide smooth solutions for all choice of data. Some results regarding a special construction of an extension operator are interesting on their own.

Keywords: Non Newtonian fluids; shear dependent viscosity; regularity; Hölder continuity of gradients; non homogeneous Dirichlet boundary condition; free stick boundary condition (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-306-47096-7_16

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DOI: 10.1007/0-306-47096-9_16

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