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Abstract
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This paper is devoted to the study of the blocking limit of Herschel–Bulkley fluid in
the case of steady-state flow. To this aim, we consider a mathematical model which
describes the steady-state flow of a Herschel–Bulkley fluid in a bounded domain. We
give the mathematical formulation of the blockage phenomenon, and we establish the
existence of the blocking limit. We also focus on behaviour of the flow with respect to
the blocking limit.
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Keywords
blocking limit, Herschel–Bulkley fluid, variational
inequality
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Mathematical Subject Classification 2010
Primary: 35J85, 76A05, 76E30
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Milestones
Received: 2 September 2018
Revised: 10 November 2018
Accepted: 11 December 2018
Published: 22 April 2019
Communicated by Carlo Marchioro
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