On flows of Bingham-type fluids with threshold slippage
type: Item
instance of: scholarly article
title: On flows of Bingham-type fluids with threshold slippage
zbMATH Open document ID: 1404.35344
DOI: 10.1155/2017/7548328
author: E. S. Baranovskii
published in: Advances in Mathematical Physics
publication date: 2018-10-23T00:00:00Z
review text: Summary: We investigate a mathematical model describing 3D steady-state flows of Bingham-type fluids in a bounded domain under threshold-slip boundary conditions, which state that flows can slip over solid surfaces when the shear stresses reach a certain critical value. Using a variational inequalities approach, we suggest the weak formulation to this problem. We establish sufficient conditions for the existence of weak solutions and provide their energy estimates. Moreover, it is shown that the set of weak solutions is sequentially weakly closed in a suitable functional space.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 76A05
zbMATH DE Number: 6962667
zbMATH Keywords: Bingham-type fluids
zbMATH Keywords: weak solutions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/7548328
OpenAlex ID: W2772057924
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description: scientific article; zbMATH DE number 6962667