Omar Chakrone, Okacha Diyer, Driss Sbibih
Abstract:
In this article we study a highly nonlinear problem which describes
a non-Newtonian fluid in a specific domain (symmetric channel).
This fluid is subjected to pressure of known differences between two
parallel plates. We establish the existence and uniqueness of a
weak solution. Our solution method is based on a minimization technique
when the nonlinearity is asymptotically on the left of the first eigenvalue
of the operator k-Laplacian.
Submitted May 17, 2011. Published March 7, 2012.
Math Subject Classifications: 74S05, 76T10.
Key Words: Non-Newtonian fluid; k-Laplacian operator; eigenvalues;
variational method.
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Omar Chakrone Université Mohammed I Faculté des sciences Laboratoire LANOL, Oujda, Maroc email: chakrone@yahoo.fr |
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Okacha Diyer Université Mohammed I Ecole Supérieure de Technologie Laboratoire MATSI, Oujda, Maroc email: odiyer@yahoo.fr |
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Driss Sbibih Université Mohammed I Ecole Supérieure de Technologie Laboratoire MATSI, Oujda, Maroc email: sbibih@yahoo.fr |
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