Author:
Galdi Giovanni P.,Grisanti Carlo R.
Abstract
AbstractWe 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.
Subject
Applied Mathematics,Numerical Analysis,Analysis
Cited by
2 articles.
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