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Licensed Unlicensed Requires Authentication Published by Oldenbourg Wissenschaftsverlag September 1, 2015

Steady-state flow of a shear-thinning liquid in an unbounded pipeline system

  • Giovanni P. Galdi and Carlo R. Grisanti EMAIL logo
From the journal Analysis


We show existence and uniqueness of steady-state solutions to the equations of generalized Newtonian liquids of shear-thinning type in an unbounded region that includes semi-infinite cylinders of constant cross-section (pipeline system). This result is established under the assumption that the datum (flow-rate) is sufficiently small. The main feature of our approach is the proof of a “global compactness” property of the sequence of approximating solutions.

MSC: 35J60; 76A05

Funding source: NSF

Award Identifier / Grant number: DMS-1311983

Funding source: INdAM

Award Identifier / Grant number: GNAMPA

Received: 2014-11-29
Accepted: 2015-8-14
Published Online: 2015-9-1
Published in Print: 2015-11-1

© 2015 by De Gruyter

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