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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