On the strong convergence of the solution of a generalized non-Newtonian fluid with Coulomb law in a thin film-Reference-Cited by-同舟云学术

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

Published:2023 Issue:6 Volume:8 Page:12637-12656
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Lahlah Hana Taklit¹,Benseridi Hamid¹,Cherif Bahri²,Dilmi Mourad¹,Boulaaras Salah²,Alharbi Rabab²

Affiliation:

1. Applied Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, University of Ferhat ABBAS- Sétif 1, 19000, Algeria

2. Department of Mathematics, College of Science and Arts at ArRass, Qassim University, Qassim, Saudi Arabia

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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