Asymptotic Behavior of Solutions to Free Boundary Problem with Tresca Boundary Conditions-Reference-Cited by-同舟云学术

Asymptotic Behavior of Solutions to Free Boundary Problem with Tresca Boundary Conditions

Published:2021-04-23 Issue: Volume:2021 Page:1-9
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Saadallah Abdelkader¹,Chougui Nadhir¹,Yazid Fares²,Abdalla Mohamed³⁴^ORCID,Cherif Bahri Belkacem⁵⁶^ORCID,Mekawy Ibrahim⁶

Affiliation:

1. Applied Math Lab, Department of Mathematics, Setif 1 University, 19000, Algeria

2. Laboratory of Pure and Applied Mathematics, University of Laghouat, Algeria

3. Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia

4. Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

5. Preparatory Institute for Engineering Studies in Sfax, Tunisia

6. Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia

Abstract

In this paper, we study the asymptotic behavior of an incompressible Herschel-Bulkley fluid in a thin domain with Tresca boundary conditions. We study the limit when the

ε

tends to zero, we prove the convergence of the unknowns which are the velocity and the pressure of the fluid, and we obtain the limit problem and the specific Reynolds equation.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/9983950.pdf

Reference35 articles.

1. Asymptotic analysis of solutions of a thin film lubrication problem with Coulomb fluid–solid interface law

2. Asymptotic Analysis of a Bingham Fluid in a Thin Domain with Fourier and Tresca Boundary Conditions

3. Fractional-order advection-dispersion problem solution via the spectral collocation method and the non-standard finite difference technique

4. Numerical simulation of thermal plumes in a Herschel–Bulkley fluid

5. Predefined-time convergence in fractional-order systems

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. CONTACT PROBLEM WITH ADHESION AND WEAR IN ELECTRO-VISCOELASTICITY WITH DAMAGE;Eurasian Journal of Mathematical and Computer Applications;2023-03

2. STUDY OF THE VISCOELASTIC PROBLEMS WITH SHORT MEMORY IN A THIN DOMAIN WITH TRESCA BOUNDARY CONDITIONS;Eurasian Journal of Mathematical and Computer Applications;2023

3. Analysis of a thermo-elasto-viscoplastic contact problem with wear and damage;Ufa Mathematical Journal;2023