Author:
Letoufa Yassine, ,Benseridi Hamid,Ammar Tedjani Hadj, , ,
Abstract
"In this paper we consider the dynamic system for Bingham fluid in a three-dimensional thin domain with Fourier and Tresca boundary condition. We study the existence and uniqueness results for the weak solution, then we establish its asymptotic behavior, when the depth of the thin domain tends to zero. This study yields a mechanical laws that give a new description of the behavior this system."
Reference13 articles.
1. "1. Bayada, G., Boukrouche, M., On a free boundary problem for the Reynolds equation derived from the Stokes systems with Tresca boundary conditions, J. Math. Anal. Appl., 282(2003), 212-231.
2. 2. Benseridi, H., Letoufa, Y., Dilmi, M., On the asymptotic behavior of an interface problem in a thin domain, M. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci., 89(2019), no. 2, 1-10.
3. 3. Bingham, E.C., An investigation of the laws of plastic flow, U.S. Bureau of Standards Bulletin, 13(1916), 309-353.
4. 4. Boukrouche, M., El Mir, R., Asymptotic analysis of non-Newtonian fluid in a thin domain with Tresca law, Nonlinear Analysis, Theory Methods and Applications, 59(2004), 85-105.
5. 5. Boukrouche, M., Lukaszewicz, G., On a lubrication problem with Fourier and Tresca boundary conditions, Math. Mod. and Meth. in Applied Sciences, 14(2004), no. 6, 913- 941.