Fouad Boughanim, Mahdi Boukrouche, Hassan Smaoui
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.
Published October 15, 2004.
Math Subject Classifications: 35A15, 35B40, 35B45, 76A05, 76D05.
Key Words: Non-newtonian fluid; power law; stick-slip condition; asymptotic analysis.
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| Fouad Boughanim |
E.N.S.A.M D&eqcute;partement Math&eqcute;matiques-Informatique
|Mahdi Boukrouche |
E.A.N St-Etienne, France
| Hassan Smaoui
E.N.S.A.M D&eqcute;partement Math&eqcute;matiques-Informatique |
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