Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 324
A coupled model of the fluid flow with nonlinear slip Tresca boundary
Dania Ati, Rahma Agroum, Saloua Aouadi, Jonas Koko
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2022
March 03, 2280
April 15, 2280

Abstract: We present in this work the unsteady Stokes equations coupled with the heat equation and provided with nonlinear slip boundary conditions of the Tresca type. Where both the viscosity and the diffusion coefficients depend on the temperature. We use an implicit Euler diagram in time and we discretize the problem in space by the finite element method. We demonstrate optimal error estimates between the continuous solution and the discrete solution. Some numerical experiments confirm the interest of this approach.