2004-Fez conference on Differential Equations and Mechanics. Electron. J. Diff. Eqns., Conference 11, 2004, pp. 71-80.

Asymptotic behavior of a non-Newtonian flow with stick-slip condition

Fouad Boughanim, Mahdi Boukrouche, Hassan Smaoui

Abstract:
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
Mekn&eqcute;s, Morocco
email: fboughanim@yahoo.fr
  Mahdi Boukrouche
CNRS-UMR 5585
E.A.N St-Etienne, France
email: Mahdi.boukrouche@univ-etienne.fr
  Hassan Smaoui E.N.S.A.M D&eqcute;partement Math&eqcute;matiques-Informatique
Mekn&eqcute;s, Morocco
email: hassan.smaoui@usa.com

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