ASYMPTOTIC BEHAVIOR OF A NON-NEWTONIAN FLOW WITH STICK-SLIP CONDITION
Fouad Boughanim, Mahdi Boukrouche, Hassan Smaoui · 2004
This paper concerns the asymptotic behavior of solutions of the 3D non-newtonian fluid flow with slip condition (Tresca's type) imposed in a part of the boundary domain. Existence of at least one weak solution is proved. We study the limit when the thickness tends to zero and we prove a convergence theorem for velocity and pressure in appropriate functional spaces. The limit of slip condition is obtained. Besides, the uniqueness of the velocity and the pressure limits are also proved.