Estimates for the asymptotic convergence of a non-isothermal linear elasticity with friction-Reference-Cited by-同舟云学术

Estimates for the asymptotic convergence of a non-isothermal linear elasticity with friction

Published:2016-09-01 Issue:3 Volume:23 Page:435-446
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:
Short-container-title:

Author:

Saadallah Abdelkader¹,Benseridi Hamid²,Dilmi Mourad³,Drabla Salah²

Affiliation:

1. 1Applied Math Lab, Department of Mathematics, Setif 1 University, 19000, Algeria

2. 2Applied Math Lab, Department of Mathematics, Setif 1 University, 19000, Algeria

3. 3Applied Math Lab, Department of Mathematics, M’sila University, 28000, Algeria

Abstract

AbstractIn this paper, we are interested in the study of the asymptotic analysis of a dynamical problem in elasticity with nonlinear friction of Tresca type. The Lamé coefficients of a thin layer are assumed to vary with respect to the thin layer parameter ε and to depend on the temperature. We prove the existence and uniqueness of a weak solution for the limit problem. The proof is carried out by the use of the asymptotic behavior when the dimension of the domain tends to zero.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/gmj/23/3/article-p435.xml

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