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Asymptotic Study of a Boundary Value Problem Governed by the Elasticity Operator with Nonlinear Term

Published online by Cambridge University Press:  03 June 2015

D. Benterki ,
H. Benseridi  and
M. Dilmi
D. Benterki*
Affiliation:
Applied Mathematics Laboratory, BB-University, 34000, Algeria
H. Benseridi*
Affiliation:
Applied Mathematics Laboratory, Department of Mathematics, Setif I-University, 19000, Algeria
M. Dilmi*
Affiliation:
Applied Mathematics Laboratory, Department of Mathematics, M’sila University, 28000, Algeria
*
Email: benterkidj@yahoo.fr
Corresponding author. Email: m_benseridi@yahoo.fr
Email: mouraddil@yahoo.fr
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Abstract

In this paper, a nonlinear boundary value problem in a three dimensional thin domain with Tresca’s friction law is considered. The small change of variable z = x3/ε transforms the initial problem posed in the domain Ωε into a new problem posed on a fixed domain Ω independent of the parameter ε. As a main result, we obtain some estimates independent of the small parameter. The passage to the limit on ε, permits to prove the results concerning the limit of the weak problem and its uniqueness.

Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 2 , April 2014 , pp. 191 - 202
Copyright
Copyright © Global-Science Press 2014

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References

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