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.
