On the strong convergence of the solution of a generalized non-Newtonian fluid with Coulomb law in a thin film

On the strong convergence of the solution of a generalized non-Newtonian fluid with Coulomb law in a thin film

The goal of this paper is to examine the strong convergence of the velocity of a non-Newtonian incompressible fluid whose viscosity follows the power law with Coulomb friction. We assume that the fluid coefficients of the thin layer vary with respect to the thin layer parameter $ \varepsilon $. We g...

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Bibliographic Details
Main Authors: Hana Taklit Lahlah, Hamid Benseridi, Bahri Cherif, Mourad Dilmi, Salah Boulaaras, Rabab Alharbi
Format: Article
Language:English
Published: AIMS Press 2023-03-01
Series:AIMS Mathematics
Subjects:
mathematical operators
partial differential equations
coulomb law
non-newtonian fluid
weak generalized equation
variational inequality
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023635?viewType=HTML
Description
Summary:The goal of this paper is to examine the strong convergence of the velocity of a non-Newtonian incompressible fluid whose viscosity follows the power law with Coulomb friction. We assume that the fluid coefficients of the thin layer vary with respect to the thin layer parameter $ \varepsilon $. We give in a first step the description of the problem and basic equations. Then, we present the functional framework. The following paragraph is reserved for the main convergence results. Finally, we give the detail of the proofs of these results.
ISSN:2473-6988

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