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

Asymptotic Study of a Boundary Value Problem Governed by the Elasticity Operator with Nonlinear Term
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Year:    2014

Author:    D. Benterki, H. Benseridi, M. Dilmi

Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 2 : pp. 191–202

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2013.m207

Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 2 : pp. 191–202

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    A priori inequalities free boundary problems nonlinear operator Tresca law variational problem.

Author Details

D. Benterki

H. Benseridi

M. Dilmi

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